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Finding the Fourth Proportional to 138,158.96, 190,645.79 and 77,728.30

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Solution

The fourth proportional to 138,158.96, 190,645.79 and 77,728.30 is: 107,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.96 : 190,645.79 = 77,728.30 : x
  2. Step 2: Convert to fraction form
    138,158.96/190,645.79 = 77,728.30/x
  3. Step 3: Cross multiply
    138,158.96x = 190,645.79 × 77,728.30
  4. Step 4: Simplify right side
    138,158.96x = 14,818,573,158.86
  5. Step 5: Solve for x
    x = 14,818,573,158.86/138,158.96
  6. Step 6: Final answer
    x = 107,257.42

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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.