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Finding the Fourth Proportional to 130,866.60, 196,299.90 and 86,543.40

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Solution

The fourth proportional to 130,866.60, 196,299.90 and 86,543.40 is: 129,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,866.60 : 196,299.90 = 86,543.40 : x
  2. Step 2: Convert to fraction form
    130,866.60/196,299.90 = 86,543.40/x
  3. Step 3: Cross multiply
    130,866.60x = 196,299.90 × 86,543.40
  4. Step 4: Simplify right side
    130,866.60x = 16,988,460,765.66
  5. Step 5: Solve for x
    x = 16,988,460,765.66/130,866.60
  6. Step 6: Final answer
    x = 129,815.10

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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.