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Finding the Fourth Proportional to 140,794.74, 194,296.80 and 77,132.76

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Solution

The fourth proportional to 140,794.74, 194,296.80 and 77,132.76 is: 106,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,794.74 : 194,296.80 = 77,132.76 : x
  2. Step 2: Convert to fraction form
    140,794.74/194,296.80 = 77,132.76/x
  3. Step 3: Cross multiply
    140,794.74x = 194,296.80 × 77,132.76
  4. Step 4: Simplify right side
    140,794.74x = 14,986,648,443.17
  5. Step 5: Solve for x
    x = 14,986,648,443.17/140,794.74
  6. Step 6: Final answer
    x = 106,443.24

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1.5x scale

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.