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Finding the Fourth Proportional to 66,931.27, 100,411.76 and 20,180.77

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Solution

The fourth proportional to 66,931.27, 100,411.76 and 20,180.77 is: 30,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,931.27 : 100,411.76 = 20,180.77 : x
  2. Step 2: Convert to fraction form
    66,931.27/100,411.76 = 20,180.77/x
  3. Step 3: Cross multiply
    66,931.27x = 100,411.76 × 20,180.77
  4. Step 4: Simplify right side
    66,931.27x = 2,026,386,633.86
  5. Step 5: Solve for x
    x = 2,026,386,633.86/66,931.27
  6. Step 6: Final answer
    x = 30,275.63

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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.