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Finding the Fourth Proportional to 208,205.71, 287,324.80 and 112,712.40

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Solution

The fourth proportional to 208,205.71, 287,324.80 and 112,712.40 is: 155,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,205.71 : 287,324.80 = 112,712.40 : x
  2. Step 2: Convert to fraction form
    208,205.71/287,324.80 = 112,712.40/x
  3. Step 3: Cross multiply
    208,205.71x = 287,324.80 × 112,712.40
  4. Step 4: Simplify right side
    208,205.71x = 32,385,067,505.74
  5. Step 5: Solve for x
    x = 32,385,067,505.74/208,205.71
  6. Step 6: Final answer
    x = 155,543.61

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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.