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Finding the Fourth Proportional to 138,550.80, 191,199.52 and 74,888.48

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Solution

The fourth proportional to 138,550.80, 191,199.52 and 74,888.48 is: 103,345.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,550.80 : 191,199.52 = 74,888.48 : x
  2. Step 2: Convert to fraction form
    138,550.80/191,199.52 = 74,888.48/x
  3. Step 3: Cross multiply
    138,550.80x = 191,199.52 × 74,888.48
  4. Step 4: Simplify right side
    138,550.80x = 14,318,641,429.53
  5. Step 5: Solve for x
    x = 14,318,641,429.53/138,550.80
  6. Step 6: Final answer
    x = 103,345.79

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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.