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Finding the Fourth Proportional to 130,671.70, 195,760.23 and 77,203.78

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Solution

The fourth proportional to 130,671.70, 195,760.23 and 77,203.78 is: 115,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,671.70 : 195,760.23 = 77,203.78 : x
  2. Step 2: Convert to fraction form
    130,671.70/195,760.23 = 77,203.78/x
  3. Step 3: Cross multiply
    130,671.70x = 195,760.23 × 77,203.78
  4. Step 4: Simplify right side
    130,671.70x = 15,113,429,729.67
  5. Step 5: Solve for x
    x = 15,113,429,729.67/130,671.70
  6. Step 6: Final answer
    x = 115,659.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.