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Finding the Fourth Proportional to 140,981.54, 194,557.02 and 77,318.78

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Solution

The fourth proportional to 140,981.54, 194,557.02 and 77,318.78 is: 106,701.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,981.54 : 194,557.02 = 77,318.78 : x
  2. Step 2: Convert to fraction form
    140,981.54/194,557.02 = 77,318.78/x
  3. Step 3: Cross multiply
    140,981.54x = 194,557.02 × 77,318.78
  4. Step 4: Simplify right side
    140,981.54x = 15,042,911,426.84
  5. Step 5: Solve for x
    x = 15,042,911,426.84/140,981.54
  6. Step 6: Final answer
    x = 106,701.28

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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.