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Finding the Fourth Proportional to 102,613.10, 153,569.55 and 85,991.90

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Solution

The fourth proportional to 102,613.10, 153,569.55 and 85,991.90 is: 128,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,613.10 : 153,569.55 = 85,991.90 : x
  2. Step 2: Convert to fraction form
    102,613.10/153,569.55 = 85,991.90/x
  3. Step 3: Cross multiply
    102,613.10x = 153,569.55 × 85,991.90
  4. Step 4: Simplify right side
    102,613.10x = 13,205,737,386.65
  5. Step 5: Solve for x
    x = 13,205,737,386.65/102,613.10
  6. Step 6: Final answer
    x = 128,694.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.