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Finding the Fourth Proportional to 138,760.64, 191,492.64 and 78,319.68

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Solution

The fourth proportional to 138,760.64, 191,492.64 and 78,319.68 is: 108,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,760.64 : 191,492.64 = 78,319.68 : x
  2. Step 2: Convert to fraction form
    138,760.64/191,492.64 = 78,319.68/x
  3. Step 3: Cross multiply
    138,760.64x = 191,492.64 × 78,319.68
  4. Step 4: Simplify right side
    138,760.64x = 14,997,642,287.16
  5. Step 5: Solve for x
    x = 14,997,642,287.16/138,760.64
  6. Step 6: Final answer
    x = 108,082.83

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1.5x scale

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.