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Finding the Fourth Proportional to 34,159.80, 51,242.10 and 19,375.80

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Solution

The fourth proportional to 34,159.80, 51,242.10 and 19,375.80 is: 29,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,159.80 : 51,242.10 = 19,375.80 : x
  2. Step 2: Convert to fraction form
    34,159.80/51,242.10 = 19,375.80/x
  3. Step 3: Cross multiply
    34,159.80x = 51,242.10 × 19,375.80
  4. Step 4: Simplify right side
    34,159.80x = 992,856,681.18
  5. Step 5: Solve for x
    x = 992,856,681.18/34,159.80
  6. Step 6: Final answer
    x = 29,065.06

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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.