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Finding the Fourth Proportional to 114,308.28, 157,731.88 and 65,909.70

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Solution

The fourth proportional to 114,308.28, 157,731.88 and 65,909.70 is: 90,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,308.28 : 157,731.88 = 65,909.70 : x
  2. Step 2: Convert to fraction form
    114,308.28/157,731.88 = 65,909.70/x
  3. Step 3: Cross multiply
    114,308.28x = 157,731.88 × 65,909.70
  4. Step 4: Simplify right side
    114,308.28x = 10,396,060,891.24
  5. Step 5: Solve for x
    x = 10,396,060,891.24/114,308.28
  6. Step 6: Final answer
    x = 90,947.58

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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.