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Finding the Fourth Proportional to 140,779, 194,275.02 and 77,117.05

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Solution

The fourth proportional to 140,779, 194,275.02 and 77,117.05 is: 106,421.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,779 : 194,275.02 = 77,117.05 : x
  2. Step 2: Convert to fraction form
    140,779/194,275.02 = 77,117.05/x
  3. Step 3: Cross multiply
    140,779x = 194,275.02 × 77,117.05
  4. Step 4: Simplify right side
    140,779x = 14,981,916,431.09
  5. Step 5: Solve for x
    x = 14,981,916,431.09/140,779
  6. Step 6: Final answer
    x = 106,421.53

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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.