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Finding the Fourth Proportional to 100,492.92, 138,686.96 and 66,442.86

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Solution

The fourth proportional to 100,492.92, 138,686.96 and 66,442.86 is: 91,695.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,492.92 : 138,686.96 = 66,442.86 : x
  2. Step 2: Convert to fraction form
    100,492.92/138,686.96 = 66,442.86/x
  3. Step 3: Cross multiply
    100,492.92x = 138,686.96 × 66,442.86
  4. Step 4: Simplify right side
    100,492.92x = 9,214,758,433.21
  5. Step 5: Solve for x
    x = 9,214,758,433.21/100,492.92
  6. Step 6: Final answer
    x = 91,695.60

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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.