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Finding the Fourth Proportional to 80,473, 111,052.74 and 45,145

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Solution

The fourth proportional to 80,473, 111,052.74 and 45,145 is: 62,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473 : 111,052.74 = 45,145 : x
  2. Step 2: Convert to fraction form
    80,473/111,052.74 = 45,145/x
  3. Step 3: Cross multiply
    80,473x = 111,052.74 × 45,145
  4. Step 4: Simplify right side
    80,473x = 5,013,475,947.30
  5. Step 5: Solve for x
    x = 5,013,475,947.30/80,473
  6. Step 6: Final answer
    x = 62,300.10

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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.