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Finding the Fourth Proportional to 208,086.96, 287,159.19 and 112,593.72

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Solution

The fourth proportional to 208,086.96, 287,159.19 and 112,593.72 is: 155,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,086.96 : 287,159.19 = 112,593.72 : x
  2. Step 2: Convert to fraction form
    208,086.96/287,159.19 = 112,593.72/x
  3. Step 3: Cross multiply
    208,086.96x = 287,159.19 × 112,593.72
  4. Step 4: Simplify right side
    208,086.96x = 32,332,321,434.29
  5. Step 5: Solve for x
    x = 32,332,321,434.29/208,086.96
  6. Step 6: Final answer
    x = 155,378.89

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1.5x scale

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.