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Finding the Fourth Proportional to 130,865.60, 196,298.40 and 86,542.40

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Solution

The fourth proportional to 130,865.60, 196,298.40 and 86,542.40 is: 129,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,865.60 : 196,298.40 = 86,542.40 : x
  2. Step 2: Convert to fraction form
    130,865.60/196,298.40 = 86,542.40/x
  3. Step 3: Cross multiply
    130,865.60x = 196,298.40 × 86,542.40
  4. Step 4: Simplify right side
    130,865.60x = 16,988,134,652.16
  5. Step 5: Solve for x
    x = 16,988,134,652.16/130,865.60
  6. Step 6: Final answer
    x = 129,813.60

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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.