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Finding the Fourth Proportional to 85,680.96, 128,549.79 and 54,054.51

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Solution

The fourth proportional to 85,680.96, 128,549.79 and 54,054.51 is: 81,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,680.96 : 128,549.79 = 54,054.51 : x
  2. Step 2: Convert to fraction form
    85,680.96/128,549.79 = 54,054.51/x
  3. Step 3: Cross multiply
    85,680.96x = 128,549.79 × 54,054.51
  4. Step 4: Simplify right side
    85,680.96x = 6,948,695,909.05
  5. Step 5: Solve for x
    x = 6,948,695,909.05/85,680.96
  6. Step 6: Final answer
    x = 81,099.65

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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.