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Finding the Fourth Proportional to 85,343.84, 127,953.68 and 40,349.28

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Solution

The fourth proportional to 85,343.84, 127,953.68 and 40,349.28 is: 60,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,343.84 : 127,953.68 = 40,349.28 : x
  2. Step 2: Convert to fraction form
    85,343.84/127,953.68 = 40,349.28/x
  3. Step 3: Cross multiply
    85,343.84x = 127,953.68 × 40,349.28
  4. Step 4: Simplify right side
    85,343.84x = 5,162,838,861.35
  5. Step 5: Solve for x
    x = 5,162,838,861.35/85,343.84
  6. Step 6: Final answer
    x = 60,494.57

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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.