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Finding the Fourth Proportional to 99,876.48, 137,796.48 and 65,901.84

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Solution

The fourth proportional to 99,876.48, 137,796.48 and 65,901.84 is: 90,922.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876.48 : 137,796.48 = 65,901.84 : x
  2. Step 2: Convert to fraction form
    99,876.48/137,796.48 = 65,901.84/x
  3. Step 3: Cross multiply
    99,876.48x = 137,796.48 × 65,901.84
  4. Step 4: Simplify right side
    99,876.48x = 9,081,041,577.52
  5. Step 5: Solve for x
    x = 9,081,041,577.52/99,876.48
  6. Step 6: Final answer
    x = 90,922.72

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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.