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Finding the Fourth Proportional to 99,178.98, 136,866.49 and 53,856.56

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Solution

The fourth proportional to 99,178.98, 136,866.49 and 53,856.56 is: 74,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,178.98 : 136,866.49 = 53,856.56 : x
  2. Step 2: Convert to fraction form
    99,178.98/136,866.49 = 53,856.56/x
  3. Step 3: Cross multiply
    99,178.98x = 136,866.49 × 53,856.56
  4. Step 4: Simplify right side
    99,178.98x = 7,371,158,330.67
  5. Step 5: Solve for x
    x = 7,371,158,330.67/99,178.98
  6. Step 6: Final answer
    x = 74,321.78

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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.