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Finding the Fourth Proportional to 131,872.66, 181,984.32 and 71,443.72

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Solution

The fourth proportional to 131,872.66, 181,984.32 and 71,443.72 is: 98,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,872.66 : 181,984.32 = 71,443.72 : x
  2. Step 2: Convert to fraction form
    131,872.66/181,984.32 = 71,443.72/x
  3. Step 3: Cross multiply
    131,872.66x = 181,984.32 × 71,443.72
  4. Step 4: Simplify right side
    131,872.66x = 13,001,637,029.95
  5. Step 5: Solve for x
    x = 13,001,637,029.95/131,872.66
  6. Step 6: Final answer
    x = 98,592.36

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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.