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Finding the Fourth Proportional to 146,209.60, 219,022.80 and 83,807.20

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Solution

The fourth proportional to 146,209.60, 219,022.80 and 83,807.20 is: 125,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,209.60 : 219,022.80 = 83,807.20 : x
  2. Step 2: Convert to fraction form
    146,209.60/219,022.80 = 83,807.20/x
  3. Step 3: Cross multiply
    146,209.60x = 219,022.80 × 83,807.20
  4. Step 4: Simplify right side
    146,209.60x = 18,355,687,604.16
  5. Step 5: Solve for x
    x = 18,355,687,604.16/146,209.60
  6. Step 6: Final answer
    x = 125,543.66

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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.