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Finding the Fourth Proportional to 140,384.79, 193,731.03 and 76,722.57

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Solution

The fourth proportional to 140,384.79, 193,731.03 and 76,722.57 is: 105,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,384.79 : 193,731.03 = 76,722.57 : x
  2. Step 2: Convert to fraction form
    140,384.79/193,731.03 = 76,722.57/x
  3. Step 3: Cross multiply
    140,384.79x = 193,731.03 × 76,722.57
  4. Step 4: Simplify right side
    140,384.79x = 14,863,542,510.35
  5. Step 5: Solve for x
    x = 14,863,542,510.35/140,384.79
  6. Step 6: Final answer
    x = 105,877.16

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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.