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Finding the Fourth Proportional to 99,480.40, 137,284.72 and 54,159.68

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Solution

The fourth proportional to 99,480.40, 137,284.72 and 54,159.68 is: 74,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,480.40 : 137,284.72 = 54,159.68 : x
  2. Step 2: Convert to fraction form
    99,480.40/137,284.72 = 54,159.68/x
  3. Step 3: Cross multiply
    99,480.40x = 137,284.72 × 54,159.68
  4. Step 4: Simplify right side
    99,480.40x = 7,435,296,711.90
  5. Step 5: Solve for x
    x = 7,435,296,711.90/99,480.40
  6. Step 6: Final answer
    x = 74,741.32

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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.