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Finding the Fourth Proportional to 85,376.40, 127,956.60 and 32,715.60

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Solution

The fourth proportional to 85,376.40, 127,956.60 and 32,715.60 is: 49,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376.40 : 127,956.60 = 32,715.60 : x
  2. Step 2: Convert to fraction form
    85,376.40/127,956.60 = 32,715.60/x
  3. Step 3: Cross multiply
    85,376.40x = 127,956.60 × 32,715.60
  4. Step 4: Simplify right side
    85,376.40x = 4,186,176,942.96
  5. Step 5: Solve for x
    x = 4,186,176,942.96/85,376.40
  6. Step 6: Final answer
    x = 49,032.02

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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.