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Finding the Fourth Proportional to 47,069.71, 70,540.47 and 25,978.32

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Solution

The fourth proportional to 47,069.71, 70,540.47 and 25,978.32 is: 38,932.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,069.71 : 70,540.47 = 25,978.32 : x
  2. Step 2: Convert to fraction form
    47,069.71/70,540.47 = 25,978.32/x
  3. Step 3: Cross multiply
    47,069.71x = 70,540.47 × 25,978.32
  4. Step 4: Simplify right side
    47,069.71x = 1,832,522,902.61
  5. Step 5: Solve for x
    x = 1,832,522,902.61/47,069.71
  6. Step 6: Final answer
    x = 38,932.11

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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.