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Finding the Fourth Proportional to 99,780.64, 137,692.98 and 54,457.48

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Solution

The fourth proportional to 99,780.64, 137,692.98 and 54,457.48 is: 75,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780.64 : 137,692.98 = 54,457.48 : x
  2. Step 2: Convert to fraction form
    99,780.64/137,692.98 = 54,457.48/x
  3. Step 3: Cross multiply
    99,780.64x = 137,692.98 × 54,457.48
  4. Step 4: Simplify right side
    99,780.64x = 7,498,412,704.49
  5. Step 5: Solve for x
    x = 7,498,412,704.49/99,780.64
  6. Step 6: Final answer
    x = 75,148.97

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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.