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Finding the Fourth Proportional to 99,690.36, 137,572.20 and 54,978.36

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Solution

The fourth proportional to 99,690.36, 137,572.20 and 54,978.36 is: 75,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,690.36 : 137,572.20 = 54,978.36 : x
  2. Step 2: Convert to fraction form
    99,690.36/137,572.20 = 54,978.36/x
  3. Step 3: Cross multiply
    99,690.36x = 137,572.20 × 54,978.36
  4. Step 4: Simplify right side
    99,690.36x = 7,563,493,937.59
  5. Step 5: Solve for x
    x = 7,563,493,937.59/99,690.36
  6. Step 6: Final answer
    x = 75,869.86

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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.