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Finding the Fourth Proportional to 70,781.31, 106,097.93 and 26,388.75

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Solution

The fourth proportional to 70,781.31, 106,097.93 and 26,388.75 is: 39,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781.31 : 106,097.93 = 26,388.75 : x
  2. Step 2: Convert to fraction form
    70,781.31/106,097.93 = 26,388.75/x
  3. Step 3: Cross multiply
    70,781.31x = 106,097.93 × 26,388.75
  4. Step 4: Simplify right side
    70,781.31x = 2,799,791,618.34
  5. Step 5: Solve for x
    x = 2,799,791,618.34/70,781.31
  6. Step 6: Final answer
    x = 39,555.52

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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.