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Finding the Fourth Proportional to 92,782.52, 127,955.40 and 78,472.36

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Solution

The fourth proportional to 92,782.52, 127,955.40 and 78,472.36 is: 108,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,782.52 : 127,955.40 = 78,472.36 : x
  2. Step 2: Convert to fraction form
    92,782.52/127,955.40 = 78,472.36/x
  3. Step 3: Cross multiply
    92,782.52x = 127,955.40 × 78,472.36
  4. Step 4: Simplify right side
    92,782.52x = 10,040,962,212.74
  5. Step 5: Solve for x
    x = 10,040,962,212.74/92,782.52
  6. Step 6: Final answer
    x = 108,220.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.