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Finding the Fourth Proportional to 89,978.30, 124,170.05 and 52,254.98

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Solution

The fourth proportional to 89,978.30, 124,170.05 and 52,254.98 is: 72,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,978.30 : 124,170.05 = 52,254.98 : x
  2. Step 2: Convert to fraction form
    89,978.30/124,170.05 = 52,254.98/x
  3. Step 3: Cross multiply
    89,978.30x = 124,170.05 × 52,254.98
  4. Step 4: Simplify right side
    89,978.30x = 6,488,503,123.98
  5. Step 5: Solve for x
    x = 6,488,503,123.98/89,978.30
  6. Step 6: Final answer
    x = 72,111.87

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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.