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Finding the Fourth Proportional to 209,932.51, 314,866.31 and 76,781.63

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Solution

The fourth proportional to 209,932.51, 314,866.31 and 76,781.63 is: 115,160.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,932.51 : 314,866.31 = 76,781.63 : x
  2. Step 2: Convert to fraction form
    209,932.51/314,866.31 = 76,781.63/x
  3. Step 3: Cross multiply
    209,932.51x = 314,866.31 × 76,781.63
  4. Step 4: Simplify right side
    209,932.51x = 24,175,948,129.98
  5. Step 5: Solve for x
    x = 24,175,948,129.98/209,932.51
  6. Step 6: Final answer
    x = 115,160.57

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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.