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Finding the Fourth Proportional to 84,872.34, 127,307.70 and 51,601.59

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Solution

The fourth proportional to 84,872.34, 127,307.70 and 51,601.59 is: 77,401.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,872.34 : 127,307.70 = 51,601.59 : x
  2. Step 2: Convert to fraction form
    84,872.34/127,307.70 = 51,601.59/x
  3. Step 3: Cross multiply
    84,872.34x = 127,307.70 × 51,601.59
  4. Step 4: Simplify right side
    84,872.34x = 6,569,279,739.24
  5. Step 5: Solve for x
    x = 6,569,279,739.24/84,872.34
  6. Step 6: Final answer
    x = 77,401.89

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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.