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Finding the Fourth Proportional to 276,747.98, 415,132.88 and 77,085.81

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Solution

The fourth proportional to 276,747.98, 415,132.88 and 77,085.81 is: 115,631.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,747.98 : 415,132.88 = 77,085.81 : x
  2. Step 2: Convert to fraction form
    276,747.98/415,132.88 = 77,085.81/x
  3. Step 3: Cross multiply
    276,747.98x = 415,132.88 × 77,085.81
  4. Step 4: Simplify right side
    276,747.98x = 32,000,853,927.00
  5. Step 5: Solve for x
    x = 32,000,853,927.00/276,747.98
  6. Step 6: Final answer
    x = 115,631.75

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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.