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Finding the Fourth Proportional to 86,543.84, 129,552.72 and 55,400.96

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Solution

The fourth proportional to 86,543.84, 129,552.72 and 55,400.96 is: 82,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543.84 : 129,552.72 = 55,400.96 : x
  2. Step 2: Convert to fraction form
    86,543.84/129,552.72 = 55,400.96/x
  3. Step 3: Cross multiply
    86,543.84x = 129,552.72 × 55,400.96
  4. Step 4: Simplify right side
    86,543.84x = 7,177,345,058.61
  5. Step 5: Solve for x
    x = 7,177,345,058.61/86,543.84
  6. Step 6: Final answer
    x = 82,933.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.