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Finding the Fourth Proportional to 208,219.52, 287,344.50 and 112,727.82

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Solution

The fourth proportional to 208,219.52, 287,344.50 and 112,727.82 is: 155,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,219.52 : 287,344.50 = 112,727.82 : x
  2. Step 2: Convert to fraction form
    208,219.52/287,344.50 = 112,727.82/x
  3. Step 3: Cross multiply
    208,219.52x = 287,344.50 × 112,727.82
  4. Step 4: Simplify right side
    208,219.52x = 32,391,719,073.99
  5. Step 5: Solve for x
    x = 32,391,719,073.99/208,219.52
  6. Step 6: Final answer
    x = 155,565.24

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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.