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Finding the Fourth Proportional to 106,488.47, 159,686.10 and 39,881.90

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Solution

The fourth proportional to 106,488.47, 159,686.10 and 39,881.90 is: 59,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,488.47 : 159,686.10 = 39,881.90 : x
  2. Step 2: Convert to fraction form
    106,488.47/159,686.10 = 39,881.90/x
  3. Step 3: Cross multiply
    106,488.47x = 159,686.10 × 39,881.90
  4. Step 4: Simplify right side
    106,488.47x = 6,368,585,470.81
  5. Step 5: Solve for x
    x = 6,368,585,470.81/106,488.47
  6. Step 6: Final answer
    x = 59,805.40

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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.