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Finding the Fourth Proportional to 75,337.80, 103,898.03 and 49,869.51

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Solution

The fourth proportional to 75,337.80, 103,898.03 and 49,869.51 is: 68,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,337.80 : 103,898.03 = 49,869.51 : x
  2. Step 2: Convert to fraction form
    75,337.80/103,898.03 = 49,869.51/x
  3. Step 3: Cross multiply
    75,337.80x = 103,898.03 × 49,869.51
  4. Step 4: Simplify right side
    75,337.80x = 5,181,343,207.10
  5. Step 5: Solve for x
    x = 5,181,343,207.10/75,337.80
  6. Step 6: Final answer
    x = 68,774.82

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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.