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Finding the Fourth Proportional to 85,131.96, 127,706.64 and 32,585.64

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Solution

The fourth proportional to 85,131.96, 127,706.64 and 32,585.64 is: 48,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,131.96 : 127,706.64 = 32,585.64 : x
  2. Step 2: Convert to fraction form
    85,131.96/127,706.64 = 32,585.64/x
  3. Step 3: Cross multiply
    85,131.96x = 127,706.64 × 32,585.64
  4. Step 4: Simplify right side
    85,131.96x = 4,161,402,596.65
  5. Step 5: Solve for x
    x = 4,161,402,596.65/85,131.96
  6. Step 6: Final answer
    x = 48,881.79

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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.