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Finding the Fourth Proportional to 141,138.76, 194,775.78 and 77,480.68

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Solution

The fourth proportional to 141,138.76, 194,775.78 and 77,480.68 is: 106,925.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,138.76 : 194,775.78 = 77,480.68 : x
  2. Step 2: Convert to fraction form
    141,138.76/194,775.78 = 77,480.68/x
  3. Step 3: Cross multiply
    141,138.76x = 194,775.78 × 77,480.68
  4. Step 4: Simplify right side
    141,138.76x = 15,091,359,881.93
  5. Step 5: Solve for x
    x = 15,091,359,881.93/141,138.76
  6. Step 6: Final answer
    x = 106,925.69

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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.