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Finding the Fourth Proportional to 157,754.34, 217,691.34 and 86,130.06

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Solution

The fourth proportional to 157,754.34, 217,691.34 and 86,130.06 is: 118,854.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,754.34 : 217,691.34 = 86,130.06 : x
  2. Step 2: Convert to fraction form
    157,754.34/217,691.34 = 86,130.06/x
  3. Step 3: Cross multiply
    157,754.34x = 217,691.34 × 86,130.06
  4. Step 4: Simplify right side
    157,754.34x = 18,749,768,175.68
  5. Step 5: Solve for x
    x = 18,749,768,175.68/157,754.34
  6. Step 6: Final answer
    x = 118,854.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.