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Finding the Fourth Proportional to 99,820.80, 137,764.48 and 57,381.12

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Solution

The fourth proportional to 99,820.80, 137,764.48 and 57,381.12 is: 79,192.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,820.80 : 137,764.48 = 57,381.12 : x
  2. Step 2: Convert to fraction form
    99,820.80/137,764.48 = 57,381.12/x
  3. Step 3: Cross multiply
    99,820.80x = 137,764.48 × 57,381.12
  4. Step 4: Simplify right side
    99,820.80x = 7,905,080,158.62
  5. Step 5: Solve for x
    x = 7,905,080,158.62/99,820.80
  6. Step 6: Final answer
    x = 79,192.71

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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.