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Finding the Fourth Proportional to 42,468, 63,693.84 and 40,360.64

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Solution

The fourth proportional to 42,468, 63,693.84 and 40,360.64 is: 60,533.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,468 : 63,693.84 = 40,360.64 : x
  2. Step 2: Convert to fraction form
    42,468/63,693.84 = 40,360.64/x
  3. Step 3: Cross multiply
    42,468x = 63,693.84 × 40,360.64
  4. Step 4: Simplify right side
    42,468x = 2,570,724,146.46
  5. Step 5: Solve for x
    x = 2,570,724,146.46/42,468
  6. Step 6: Final answer
    x = 60,533.20

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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.