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Finding the Fourth Proportional to 75,407.78, 113,111.54 and 19,247.88

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Solution

The fourth proportional to 75,407.78, 113,111.54 and 19,247.88 is: 28,871.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,407.78 : 113,111.54 = 19,247.88 : x
  2. Step 2: Convert to fraction form
    75,407.78/113,111.54 = 19,247.88/x
  3. Step 3: Cross multiply
    75,407.78x = 113,111.54 × 19,247.88
  4. Step 4: Simplify right side
    75,407.78x = 2,177,156,831.10
  5. Step 5: Solve for x
    x = 2,177,156,831.10/75,407.78
  6. Step 6: Final answer
    x = 28,871.78

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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.