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Finding the Fourth Proportional to 67,415.52, 101,142.84 and 20,675.28

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Solution

The fourth proportional to 67,415.52, 101,142.84 and 20,675.28 is: 31,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,415.52 : 101,142.84 = 20,675.28 : x
  2. Step 2: Convert to fraction form
    67,415.52/101,142.84 = 20,675.28/x
  3. Step 3: Cross multiply
    67,415.52x = 101,142.84 × 20,675.28
  4. Step 4: Simplify right side
    67,415.52x = 2,091,156,537.00
  5. Step 5: Solve for x
    x = 2,091,156,537.00/67,415.52
  6. Step 6: Final answer
    x = 31,018.92

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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.