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Finding the Fourth Proportional to 131,415, 181,352.70 and 71,799

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Solution

The fourth proportional to 131,415, 181,352.70 and 71,799 is: 99,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,415 : 181,352.70 = 71,799 : x
  2. Step 2: Convert to fraction form
    131,415/181,352.70 = 71,799/x
  3. Step 3: Cross multiply
    131,415x = 181,352.70 × 71,799
  4. Step 4: Simplify right side
    131,415x = 13,020,942,507.30
  5. Step 5: Solve for x
    x = 13,020,942,507.30/131,415
  6. Step 6: Final answer
    x = 99,082.62

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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.