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Finding the Fourth Proportional to 130,509.60, 195,764.40 and 88,519.20

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Solution

The fourth proportional to 130,509.60, 195,764.40 and 88,519.20 is: 132,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,509.60 : 195,764.40 = 88,519.20 : x
  2. Step 2: Convert to fraction form
    130,509.60/195,764.40 = 88,519.20/x
  3. Step 3: Cross multiply
    130,509.60x = 195,764.40 × 88,519.20
  4. Step 4: Simplify right side
    130,509.60x = 17,328,908,076.48
  5. Step 5: Solve for x
    x = 17,328,908,076.48/130,509.60
  6. Step 6: Final answer
    x = 132,778.80

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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.