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Finding the Fourth Proportional to 131,872, 181,983.36 and 72,254.72

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Solution

The fourth proportional to 131,872, 181,983.36 and 72,254.72 is: 99,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,872 : 181,983.36 = 72,254.72 : x
  2. Step 2: Convert to fraction form
    131,872/181,983.36 = 72,254.72/x
  3. Step 3: Cross multiply
    131,872x = 181,983.36 × 72,254.72
  4. Step 4: Simplify right side
    131,872x = 13,149,156,721.46
  5. Step 5: Solve for x
    x = 13,149,156,721.46/131,872
  6. Step 6: Final answer
    x = 99,711.51

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1.5x scale

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.