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Finding the Fourth Proportional to 85,278.66, 127,751.76 and 51,915.98

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Solution

The fourth proportional to 85,278.66, 127,751.76 and 51,915.98 is: 77,772.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,278.66 : 127,751.76 = 51,915.98 : x
  2. Step 2: Convert to fraction form
    85,278.66/127,751.76 = 51,915.98/x
  3. Step 3: Cross multiply
    85,278.66x = 127,751.76 × 51,915.98
  4. Step 4: Simplify right side
    85,278.66x = 6,632,357,817.12
  5. Step 5: Solve for x
    x = 6,632,357,817.12/85,278.66
  6. Step 6: Final answer
    x = 77,772.77

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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.