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Finding the Fourth Proportional to 81,758.76, 112,837.17 and 45,948

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Solution

The fourth proportional to 81,758.76, 112,837.17 and 45,948 is: 63,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,758.76 : 112,837.17 = 45,948 : x
  2. Step 2: Convert to fraction form
    81,758.76/112,837.17 = 45,948/x
  3. Step 3: Cross multiply
    81,758.76x = 112,837.17 × 45,948
  4. Step 4: Simplify right side
    81,758.76x = 5,184,642,287.16
  5. Step 5: Solve for x
    x = 5,184,642,287.16/81,758.76
  6. Step 6: Final answer
    x = 63,413.91

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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.