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Finding the Fourth Proportional to 138,962.92, 191,768.18 and 75,300.76

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Solution

The fourth proportional to 138,962.92, 191,768.18 and 75,300.76 is: 103,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,962.92 : 191,768.18 = 75,300.76 : x
  2. Step 2: Convert to fraction form
    138,962.92/191,768.18 = 75,300.76/x
  3. Step 3: Cross multiply
    138,962.92x = 191,768.18 × 75,300.76
  4. Step 4: Simplify right side
    138,962.92x = 14,440,289,697.82
  5. Step 5: Solve for x
    x = 14,440,289,697.82/138,962.92
  6. Step 6: Final answer
    x = 103,914.70

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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.