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Finding the Fourth Proportional to 201,486.80, 302,448.90 and 157,309.40

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Solution

The fourth proportional to 201,486.80, 302,448.90 and 157,309.40 is: 236,134.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,486.80 : 302,448.90 = 157,309.40 : x
  2. Step 2: Convert to fraction form
    201,486.80/302,448.90 = 157,309.40/x
  3. Step 3: Cross multiply
    201,486.80x = 302,448.90 × 157,309.40
  4. Step 4: Simplify right side
    201,486.80x = 47,578,054,989.66
  5. Step 5: Solve for x
    x = 47,578,054,989.66/201,486.80
  6. Step 6: Final answer
    x = 236,134.85

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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.