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Finding the Fourth Proportional to 99,472, 137,271.36 and 54,760

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Solution

The fourth proportional to 99,472, 137,271.36 and 54,760 is: 75,568.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,472 : 137,271.36 = 54,760 : x
  2. Step 2: Convert to fraction form
    99,472/137,271.36 = 54,760/x
  3. Step 3: Cross multiply
    99,472x = 137,271.36 × 54,760
  4. Step 4: Simplify right side
    99,472x = 7,516,979,673.60
  5. Step 5: Solve for x
    x = 7,516,979,673.60/99,472
  6. Step 6: Final answer
    x = 75,568.80

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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.