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Finding the Fourth Proportional to 51,463.92, 77,195.88 and 28,077.60

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Solution

The fourth proportional to 51,463.92, 77,195.88 and 28,077.60 is: 42,116.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,463.92 : 77,195.88 = 28,077.60 : x
  2. Step 2: Convert to fraction form
    51,463.92/77,195.88 = 28,077.60/x
  3. Step 3: Cross multiply
    51,463.92x = 77,195.88 × 28,077.60
  4. Step 4: Simplify right side
    51,463.92x = 2,167,475,040.29
  5. Step 5: Solve for x
    x = 2,167,475,040.29/51,463.92
  6. Step 6: Final answer
    x = 42,116.40

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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.