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Finding the Fourth Proportional to 99,306.77, 137,045.97 and 53,987.81

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Solution

The fourth proportional to 99,306.77, 137,045.97 and 53,987.81 is: 74,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,306.77 : 137,045.97 = 53,987.81 : x
  2. Step 2: Convert to fraction form
    99,306.77/137,045.97 = 53,987.81/x
  3. Step 3: Cross multiply
    99,306.77x = 137,045.97 × 53,987.81
  4. Step 4: Simplify right side
    99,306.77x = 7,398,811,104.40
  5. Step 5: Solve for x
    x = 7,398,811,104.40/99,306.77
  6. Step 6: Final answer
    x = 74,504.60

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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.