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Finding the Fourth Proportional to 209,987.80, 314,981.70 and 157,499.80

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Solution

The fourth proportional to 209,987.80, 314,981.70 and 157,499.80 is: 236,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,987.80 : 314,981.70 = 157,499.80 : x
  2. Step 2: Convert to fraction form
    209,987.80/314,981.70 = 157,499.80/x
  3. Step 3: Cross multiply
    209,987.80x = 314,981.70 × 157,499.80
  4. Step 4: Simplify right side
    209,987.80x = 49,609,554,753.66
  5. Step 5: Solve for x
    x = 49,609,554,753.66/209,987.80
  6. Step 6: Final answer
    x = 236,249.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.