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Finding the Fourth Proportional to 146,510.80, 219,839.10 and 57,767.20

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Solution

The fourth proportional to 146,510.80, 219,839.10 and 57,767.20 is: 86,679.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,510.80 : 219,839.10 = 57,767.20 : x
  2. Step 2: Convert to fraction form
    146,510.80/219,839.10 = 57,767.20/x
  3. Step 3: Cross multiply
    146,510.80x = 219,839.10 × 57,767.20
  4. Step 4: Simplify right side
    146,510.80x = 12,699,489,257.52
  5. Step 5: Solve for x
    x = 12,699,489,257.52/146,510.80
  6. Step 6: Final answer
    x = 86,679.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.