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Finding the Fourth Proportional to 140,946.76, 194,510.46 and 77,288.86

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Solution

The fourth proportional to 140,946.76, 194,510.46 and 77,288.86 is: 106,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,946.76 : 194,510.46 = 77,288.86 : x
  2. Step 2: Convert to fraction form
    140,946.76/194,510.46 = 77,288.86/x
  3. Step 3: Cross multiply
    140,946.76x = 194,510.46 × 77,288.86
  4. Step 4: Simplify right side
    140,946.76x = 15,033,491,711.48
  5. Step 5: Solve for x
    x = 15,033,491,711.48/140,946.76
  6. Step 6: Final answer
    x = 106,660.78

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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.