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Finding the Fourth Proportional to 138,752.06, 191,477.84 and 75,089.87

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Solution

The fourth proportional to 138,752.06, 191,477.84 and 75,089.87 is: 103,624.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.06 : 191,477.84 = 75,089.87 : x
  2. Step 2: Convert to fraction form
    138,752.06/191,477.84 = 75,089.87/x
  3. Step 3: Cross multiply
    138,752.06x = 191,477.84 × 75,089.87
  4. Step 4: Simplify right side
    138,752.06x = 14,378,044,780.64
  5. Step 5: Solve for x
    x = 14,378,044,780.64/138,752.06
  6. Step 6: Final answer
    x = 103,624.01

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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.