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Finding the Fourth Proportional to 66,977.52, 92,428 and 38,296.88

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Solution

The fourth proportional to 66,977.52, 92,428 and 38,296.88 is: 52,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,977.52 : 92,428 = 38,296.88 : x
  2. Step 2: Convert to fraction form
    66,977.52/92,428 = 38,296.88/x
  3. Step 3: Cross multiply
    66,977.52x = 92,428 × 38,296.88
  4. Step 4: Simplify right side
    66,977.52x = 3,539,704,024.64
  5. Step 5: Solve for x
    x = 3,539,704,024.64/66,977.52
  6. Step 6: Final answer
    x = 52,849.14

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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.