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Finding the Fourth Proportional to 99,288, 137,017.92 and 54,576

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Solution

The fourth proportional to 99,288, 137,017.92 and 54,576 is: 75,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,288 : 137,017.92 = 54,576 : x
  2. Step 2: Convert to fraction form
    99,288/137,017.92 = 54,576/x
  3. Step 3: Cross multiply
    99,288x = 137,017.92 × 54,576
  4. Step 4: Simplify right side
    99,288x = 7,477,890,001.92
  5. Step 5: Solve for x
    x = 7,477,890,001.92/99,288
  6. Step 6: Final answer
    x = 75,315.14

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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.