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Finding the Fourth Proportional to 102,593.92, 141,263.80 and 87,452.64

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Solution

The fourth proportional to 102,593.92, 141,263.80 and 87,452.64 is: 120,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,593.92 : 141,263.80 = 87,452.64 : x
  2. Step 2: Convert to fraction form
    102,593.92/141,263.80 = 87,452.64/x
  3. Step 3: Cross multiply
    102,593.92x = 141,263.80 × 87,452.64
  4. Step 4: Simplify right side
    102,593.92x = 12,353,892,246.43
  5. Step 5: Solve for x
    x = 12,353,892,246.43/102,593.92
  6. Step 6: Final answer
    x = 120,415.44

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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.