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Finding the Fourth Proportional to 208,497.57, 287,728.10 and 113,005.86

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Solution

The fourth proportional to 208,497.57, 287,728.10 and 113,005.86 is: 155,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,497.57 : 287,728.10 = 113,005.86 : x
  2. Step 2: Convert to fraction form
    208,497.57/287,728.10 = 113,005.86/x
  3. Step 3: Cross multiply
    208,497.57x = 287,728.10 × 113,005.86
  4. Step 4: Simplify right side
    208,497.57x = 32,514,961,386.67
  5. Step 5: Solve for x
    x = 32,514,961,386.67/208,497.57
  6. Step 6: Final answer
    x = 155,948.87

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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.