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Finding the Fourth Proportional to 140,917.70, 194,465.40 and 77,254.40

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Solution

The fourth proportional to 140,917.70, 194,465.40 and 77,254.40 is: 106,610.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,917.70 : 194,465.40 = 77,254.40 : x
  2. Step 2: Convert to fraction form
    140,917.70/194,465.40 = 77,254.40/x
  3. Step 3: Cross multiply
    140,917.70x = 194,465.40 × 77,254.40
  4. Step 4: Simplify right side
    140,917.70x = 15,023,307,797.76
  5. Step 5: Solve for x
    x = 15,023,307,797.76/140,917.70
  6. Step 6: Final answer
    x = 106,610.51

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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.