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Finding the Fourth Proportional to 106,335.75, 159,531.30 and 39,781.08

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Solution

The fourth proportional to 106,335.75, 159,531.30 and 39,781.08 is: 59,681.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,335.75 : 159,531.30 = 39,781.08 : x
  2. Step 2: Convert to fraction form
    106,335.75/159,531.30 = 39,781.08/x
  3. Step 3: Cross multiply
    106,335.75x = 159,531.30 × 39,781.08
  4. Step 4: Simplify right side
    106,335.75x = 6,346,327,407.80
  5. Step 5: Solve for x
    x = 6,346,327,407.80/106,335.75
  6. Step 6: Final answer
    x = 59,681.97

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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.