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Finding the Fourth Proportional to 99,018, 136,651.32 and 54,306

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Solution

The fourth proportional to 99,018, 136,651.32 and 54,306 is: 74,945.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018 : 136,651.32 = 54,306 : x
  2. Step 2: Convert to fraction form
    99,018/136,651.32 = 54,306/x
  3. Step 3: Cross multiply
    99,018x = 136,651.32 × 54,306
  4. Step 4: Simplify right side
    99,018x = 7,420,986,583.92
  5. Step 5: Solve for x
    x = 7,420,986,583.92/99,018
  6. Step 6: Final answer
    x = 74,945.83

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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.