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Finding the Fourth Proportional to 157,412.10, 236,118.15 and 86,553.30

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Solution

The fourth proportional to 157,412.10, 236,118.15 and 86,553.30 is: 129,829.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,412.10 : 236,118.15 = 86,553.30 : x
  2. Step 2: Convert to fraction form
    157,412.10/236,118.15 = 86,553.30/x
  3. Step 3: Cross multiply
    157,412.10x = 236,118.15 × 86,553.30
  4. Step 4: Simplify right side
    157,412.10x = 20,436,805,072.40
  5. Step 5: Solve for x
    x = 20,436,805,072.40/157,412.10
  6. Step 6: Final answer
    x = 129,829.95

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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.