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Finding the Fourth Proportional to 208,649.91, 287,934.03 and 113,154.69

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Solution

The fourth proportional to 208,649.91, 287,934.03 and 113,154.69 is: 156,151.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,649.91 : 287,934.03 = 113,154.69 : x
  2. Step 2: Convert to fraction form
    208,649.91/287,934.03 = 113,154.69/x
  3. Step 3: Cross multiply
    208,649.91x = 287,934.03 × 113,154.69
  4. Step 4: Simplify right side
    208,649.91x = 32,581,085,905.10
  5. Step 5: Solve for x
    x = 32,581,085,905.10/208,649.91
  6. Step 6: Final answer
    x = 156,151.93

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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.