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Finding the Fourth Proportional to 208,230.54, 287,358.30 and 112,737.30

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Solution

The fourth proportional to 208,230.54, 287,358.30 and 112,737.30 is: 155,577.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,230.54 : 287,358.30 = 112,737.30 : x
  2. Step 2: Convert to fraction form
    208,230.54/287,358.30 = 112,737.30/x
  3. Step 3: Cross multiply
    208,230.54x = 287,358.30 × 112,737.30
  4. Step 4: Simplify right side
    208,230.54x = 32,395,998,874.59
  5. Step 5: Solve for x
    x = 32,395,998,874.59/208,230.54
  6. Step 6: Final answer
    x = 155,577.56

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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.