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Finding the Fourth Proportional to 145,375.29, 218,092.23 and 51,878.61

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Solution

The fourth proportional to 145,375.29, 218,092.23 and 51,878.61 is: 77,828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,375.29 : 218,092.23 = 51,878.61 : x
  2. Step 2: Convert to fraction form
    145,375.29/218,092.23 = 51,878.61/x
  3. Step 3: Cross multiply
    145,375.29x = 218,092.23 × 51,878.61
  4. Step 4: Simplify right side
    145,375.29x = 11,314,321,744.20
  5. Step 5: Solve for x
    x = 11,314,321,744.20/145,375.29
  6. Step 6: Final answer
    x = 77,828.37

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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.