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Finding the Fourth Proportional to 99,607.76, 137,458.73 and 54,285.78

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Solution

The fourth proportional to 99,607.76, 137,458.73 and 54,285.78 is: 74,914.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,607.76 : 137,458.73 = 54,285.78 : x
  2. Step 2: Convert to fraction form
    99,607.76/137,458.73 = 54,285.78/x
  3. Step 3: Cross multiply
    99,607.76x = 137,458.73 × 54,285.78
  4. Step 4: Simplify right side
    99,607.76x = 7,462,054,375.86
  5. Step 5: Solve for x
    x = 7,462,054,375.86/99,607.76
  6. Step 6: Final answer
    x = 74,914.39

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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.