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Finding the Fourth Proportional to 138,848.92, 191,612.42 and 75,186.72

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Solution

The fourth proportional to 138,848.92, 191,612.42 and 75,186.72 is: 103,758.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,848.92 : 191,612.42 = 75,186.72 : x
  2. Step 2: Convert to fraction form
    138,848.92/191,612.42 = 75,186.72/x
  3. Step 3: Cross multiply
    138,848.92x = 191,612.42 × 75,186.72
  4. Step 4: Simplify right side
    138,848.92x = 14,406,709,277.08
  5. Step 5: Solve for x
    x = 14,406,709,277.08/138,848.92
  6. Step 6: Final answer
    x = 103,758.17

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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.