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Finding the Fourth Proportional to 99,019, 136,652.70 and 54,307

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Solution

The fourth proportional to 99,019, 136,652.70 and 54,307 is: 74,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,019 : 136,652.70 = 54,307 : x
  2. Step 2: Convert to fraction form
    99,019/136,652.70 = 54,307/x
  3. Step 3: Cross multiply
    99,019x = 136,652.70 × 54,307
  4. Step 4: Simplify right side
    99,019x = 7,421,198,178.90
  5. Step 5: Solve for x
    x = 7,421,198,178.90/99,019
  6. Step 6: Final answer
    x = 74,947.21

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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.