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Finding the Fourth Proportional to 140,894.93, 194,471.75 and 87,148.70

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Solution

The fourth proportional to 140,894.93, 194,471.75 and 87,148.70 is: 120,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,894.93 : 194,471.75 = 87,148.70 : x
  2. Step 2: Convert to fraction form
    140,894.93/194,471.75 = 87,148.70/x
  3. Step 3: Cross multiply
    140,894.93x = 194,471.75 × 87,148.70
  4. Step 4: Simplify right side
    140,894.93x = 16,947,960,199.23
  5. Step 5: Solve for x
    x = 16,947,960,199.23/140,894.93
  6. Step 6: Final answer
    x = 120,287.94

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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.