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Finding the Fourth Proportional to 138,506.62, 191,127.65 and 78,092.12

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Solution

The fourth proportional to 138,506.62, 191,127.65 and 78,092.12 is: 107,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,506.62 : 191,127.65 = 78,092.12 : x
  2. Step 2: Convert to fraction form
    138,506.62/191,127.65 = 78,092.12/x
  3. Step 3: Cross multiply
    138,506.62x = 191,127.65 × 78,092.12
  4. Step 4: Simplify right side
    138,506.62x = 14,925,562,033.02
  5. Step 5: Solve for x
    x = 14,925,562,033.02/138,506.62
  6. Step 6: Final answer
    x = 107,760.64

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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.