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Finding the Fourth Proportional to 138,633, 191,316.30 and 78,191.79

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Solution

The fourth proportional to 138,633, 191,316.30 and 78,191.79 is: 107,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,633 : 191,316.30 = 78,191.79 : x
  2. Step 2: Convert to fraction form
    138,633/191,316.30 = 78,191.79/x
  3. Step 3: Cross multiply
    138,633x = 191,316.30 × 78,191.79
  4. Step 4: Simplify right side
    138,633x = 14,959,363,953.18
  5. Step 5: Solve for x
    x = 14,959,363,953.18/138,633
  6. Step 6: Final answer
    x = 107,906.23

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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.