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Finding the Fourth Proportional to 99,438, 137,226.60 and 54,726

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Solution

The fourth proportional to 99,438, 137,226.60 and 54,726 is: 75,523.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,438 : 137,226.60 = 54,726 : x
  2. Step 2: Convert to fraction form
    99,438/137,226.60 = 54,726/x
  3. Step 3: Cross multiply
    99,438x = 137,226.60 × 54,726
  4. Step 4: Simplify right side
    99,438x = 7,509,862,911.60
  5. Step 5: Solve for x
    x = 7,509,862,911.60/99,438
  6. Step 6: Final answer
    x = 75,523.07

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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.