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Finding the Fourth Proportional to 138,927.29, 191,710.19 and 78,500.48

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Solution

The fourth proportional to 138,927.29, 191,710.19 and 78,500.48 is: 108,325.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,927.29 : 191,710.19 = 78,500.48 : x
  2. Step 2: Convert to fraction form
    138,927.29/191,710.19 = 78,500.48/x
  3. Step 3: Cross multiply
    138,927.29x = 191,710.19 × 78,500.48
  4. Step 4: Simplify right side
    138,927.29x = 15,049,341,173.59
  5. Step 5: Solve for x
    x = 15,049,341,173.59/138,927.29
  6. Step 6: Final answer
    x = 108,325.31

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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.