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Finding the Fourth Proportional to 157,658.40, 217,569.36 and 86,039.91

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Solution

The fourth proportional to 157,658.40, 217,569.36 and 86,039.91 is: 118,735.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,658.40 : 217,569.36 = 86,039.91 : x
  2. Step 2: Convert to fraction form
    157,658.40/217,569.36 = 86,039.91/x
  3. Step 3: Cross multiply
    157,658.40x = 217,569.36 × 86,039.91
  4. Step 4: Simplify right side
    157,658.40x = 18,719,648,153.16
  5. Step 5: Solve for x
    x = 18,719,648,153.16/157,658.40
  6. Step 6: Final answer
    x = 118,735.49

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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.