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Finding the Fourth Proportional to 157,128.71, 235,591.64 and 67,230.09

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Solution

The fourth proportional to 157,128.71, 235,591.64 and 67,230.09 is: 100,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,128.71 : 235,591.64 = 67,230.09 : x
  2. Step 2: Convert to fraction form
    157,128.71/235,591.64 = 67,230.09/x
  3. Step 3: Cross multiply
    157,128.71x = 235,591.64 × 67,230.09
  4. Step 4: Simplify right side
    157,128.71x = 15,838,847,160.45
  5. Step 5: Solve for x
    x = 15,838,847,160.45/157,128.71
  6. Step 6: Final answer
    x = 100,801.74

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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.