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Finding the Fourth Proportional to 131,398.50, 181,330.74 and 71,782.50

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Solution

The fourth proportional to 131,398.50, 181,330.74 and 71,782.50 is: 99,060.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,398.50 : 181,330.74 = 71,782.50 : x
  2. Step 2: Convert to fraction form
    131,398.50/181,330.74 = 71,782.50/x
  3. Step 3: Cross multiply
    131,398.50x = 181,330.74 × 71,782.50
  4. Step 4: Simplify right side
    131,398.50x = 13,016,373,844.05
  5. Step 5: Solve for x
    x = 13,016,373,844.05/131,398.50
  6. Step 6: Final answer
    x = 99,060.29

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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.