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Finding the Fourth Proportional to 130,160.80, 195,241.20 and 77,672.80

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Solution

The fourth proportional to 130,160.80, 195,241.20 and 77,672.80 is: 116,509.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,160.80 : 195,241.20 = 77,672.80 : x
  2. Step 2: Convert to fraction form
    130,160.80/195,241.20 = 77,672.80/x
  3. Step 3: Cross multiply
    130,160.80x = 195,241.20 × 77,672.80
  4. Step 4: Simplify right side
    130,160.80x = 15,164,930,679.36
  5. Step 5: Solve for x
    x = 15,164,930,679.36/130,160.80
  6. Step 6: Final answer
    x = 116,509.20

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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.