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Finding the Fourth Proportional to 57,689, 79,538.70 and 48,142.64

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Solution

The fourth proportional to 57,689, 79,538.70 and 48,142.64 is: 66,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,689 : 79,538.70 = 48,142.64 : x
  2. Step 2: Convert to fraction form
    57,689/79,538.70 = 48,142.64/x
  3. Step 3: Cross multiply
    57,689x = 79,538.70 × 48,142.64
  4. Step 4: Simplify right side
    57,689x = 3,829,203,000.17
  5. Step 5: Solve for x
    x = 3,829,203,000.17/57,689
  6. Step 6: Final answer
    x = 66,376.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.