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Finding the Fourth Proportional to 72,782.73, 100,442.13 and 40,952.76

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Solution

The fourth proportional to 72,782.73, 100,442.13 and 40,952.76 is: 56,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,782.73 : 100,442.13 = 40,952.76 : x
  2. Step 2: Convert to fraction form
    72,782.73/100,442.13 = 40,952.76/x
  3. Step 3: Cross multiply
    72,782.73x = 100,442.13 × 40,952.76
  4. Step 4: Simplify right side
    72,782.73x = 4,113,382,443.78
  5. Step 5: Solve for x
    x = 4,113,382,443.78/72,782.73
  6. Step 6: Final answer
    x = 56,515.91

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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.