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Finding the Fourth Proportional to 42,652.40, 63,978.60 and 40,348.40

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Solution

The fourth proportional to 42,652.40, 63,978.60 and 40,348.40 is: 60,522.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,652.40 : 63,978.60 = 40,348.40 : x
  2. Step 2: Convert to fraction form
    42,652.40/63,978.60 = 40,348.40/x
  3. Step 3: Cross multiply
    42,652.40x = 63,978.60 × 40,348.40
  4. Step 4: Simplify right side
    42,652.40x = 2,581,434,144.24
  5. Step 5: Solve for x
    x = 2,581,434,144.24/42,652.40
  6. Step 6: Final answer
    x = 60,522.60

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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.