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Finding the Fourth Proportional to 42,665.40, 63,978.90 and 16,361.40

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Solution

The fourth proportional to 42,665.40, 63,978.90 and 16,361.40 is: 24,534.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,665.40 : 63,978.90 = 16,361.40 : x
  2. Step 2: Convert to fraction form
    42,665.40/63,978.90 = 16,361.40/x
  3. Step 3: Cross multiply
    42,665.40x = 63,978.90 × 16,361.40
  4. Step 4: Simplify right side
    42,665.40x = 1,046,784,374.46
  5. Step 5: Solve for x
    x = 1,046,784,374.46/42,665.40
  6. Step 6: Final answer
    x = 24,534.74

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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.