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Finding the Fourth Proportional to 74,657.92, 111,990.96 and 30,278.08

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Solution

The fourth proportional to 74,657.92, 111,990.96 and 30,278.08 is: 45,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,657.92 : 111,990.96 = 30,278.08 : x
  2. Step 2: Convert to fraction form
    74,657.92/111,990.96 = 30,278.08/x
  3. Step 3: Cross multiply
    74,657.92x = 111,990.96 × 30,278.08
  4. Step 4: Simplify right side
    74,657.92x = 3,390,871,246.16
  5. Step 5: Solve for x
    x = 3,390,871,246.16/74,657.92
  6. Step 6: Final answer
    x = 45,418.77

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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.