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Finding the Fourth Proportional to 208,535.16, 287,773.92 and 113,039.40

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Solution

The fourth proportional to 208,535.16, 287,773.92 and 113,039.40 is: 155,991.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,535.16 : 287,773.92 = 113,039.40 : x
  2. Step 2: Convert to fraction form
    208,535.16/287,773.92 = 113,039.40/x
  3. Step 3: Cross multiply
    208,535.16x = 287,773.92 × 113,039.40
  4. Step 4: Simplify right side
    208,535.16x = 32,529,791,252.45
  5. Step 5: Solve for x
    x = 32,529,791,252.45/208,535.16
  6. Step 6: Final answer
    x = 155,991.88

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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.