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Finding the Fourth Proportional to 130,828.60, 196,461.60 and 86,651.20

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Solution

The fourth proportional to 130,828.60, 196,461.60 and 86,651.20 is: 130,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,828.60 : 196,461.60 = 86,651.20 : x
  2. Step 2: Convert to fraction form
    130,828.60/196,461.60 = 86,651.20/x
  3. Step 3: Cross multiply
    130,828.60x = 196,461.60 × 86,651.20
  4. Step 4: Simplify right side
    130,828.60x = 17,023,633,393.92
  5. Step 5: Solve for x
    x = 17,023,633,393.92/130,828.60
  6. Step 6: Final answer
    x = 130,121.65

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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.