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Finding the Fourth Proportional to 99,483.87, 137,283.24 and 54,160.71

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Solution

The fourth proportional to 99,483.87, 137,283.24 and 54,160.71 is: 74,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,483.87 : 137,283.24 = 54,160.71 : x
  2. Step 2: Convert to fraction form
    99,483.87/137,283.24 = 54,160.71/x
  3. Step 3: Cross multiply
    99,483.87x = 137,283.24 × 54,160.71
  4. Step 4: Simplify right side
    99,483.87x = 7,435,357,749.50
  5. Step 5: Solve for x
    x = 7,435,357,749.50/99,483.87
  6. Step 6: Final answer
    x = 74,739.33

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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.