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Finding the Fourth Proportional to 47,750.40, 71,445.48 and 42,900

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Solution

The fourth proportional to 47,750.40, 71,445.48 and 42,900 is: 64,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,750.40 : 71,445.48 = 42,900 : x
  2. Step 2: Convert to fraction form
    47,750.40/71,445.48 = 42,900/x
  3. Step 3: Cross multiply
    47,750.40x = 71,445.48 × 42,900
  4. Step 4: Simplify right side
    47,750.40x = 3,065,011,092
  5. Step 5: Solve for x
    x = 3,065,011,092/47,750.40
  6. Step 6: Final answer
    x = 64,188.18

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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.