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Finding the Fourth Proportional to 71,978.40, 107,888.40 and 25,207.20

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Solution

The fourth proportional to 71,978.40, 107,888.40 and 25,207.20 is: 37,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.40 : 107,888.40 = 25,207.20 : x
  2. Step 2: Convert to fraction form
    71,978.40/107,888.40 = 25,207.20/x
  3. Step 3: Cross multiply
    71,978.40x = 107,888.40 × 25,207.20
  4. Step 4: Simplify right side
    71,978.40x = 2,719,564,476.48
  5. Step 5: Solve for x
    x = 2,719,564,476.48/71,978.40
  6. Step 6: Final answer
    x = 37,783.06

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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.