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Finding the Fourth Proportional to 208,487.64, 287,705.20 and 112,992.30

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Solution

The fourth proportional to 208,487.64, 287,705.20 and 112,992.30 is: 155,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,487.64 : 287,705.20 = 112,992.30 : x
  2. Step 2: Convert to fraction form
    208,487.64/287,705.20 = 112,992.30/x
  3. Step 3: Cross multiply
    208,487.64x = 287,705.20 × 112,992.30
  4. Step 4: Simplify right side
    208,487.64x = 32,508,472,269.96
  5. Step 5: Solve for x
    x = 32,508,472,269.96/208,487.64
  6. Step 6: Final answer
    x = 155,925.18

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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.