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Finding the Fourth Proportional to 129,762, 179,082.50 and 73,184.31

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Solution

The fourth proportional to 129,762, 179,082.50 and 73,184.31 is: 101,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762 : 179,082.50 = 73,184.31 : x
  2. Step 2: Convert to fraction form
    129,762/179,082.50 = 73,184.31/x
  3. Step 3: Cross multiply
    129,762x = 179,082.50 × 73,184.31
  4. Step 4: Simplify right side
    129,762x = 13,106,028,829.65
  5. Step 5: Solve for x
    x = 13,106,028,829.65/129,762
  6. Step 6: Final answer
    x = 101,000.52

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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.