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Finding the Fourth Proportional to 140,922.36, 194,472.81 and 77,258.79

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Solution

The fourth proportional to 140,922.36, 194,472.81 and 77,258.79 is: 106,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,922.36 : 194,472.81 = 77,258.79 : x
  2. Step 2: Convert to fraction form
    140,922.36/194,472.81 = 77,258.79/x
  3. Step 3: Cross multiply
    140,922.36x = 194,472.81 × 77,258.79
  4. Step 4: Simplify right side
    140,922.36x = 15,024,733,988.50
  5. Step 5: Solve for x
    x = 15,024,733,988.50/140,922.36
  6. Step 6: Final answer
    x = 106,617.10

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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.