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Finding the Fourth Proportional to 145,940.70, 218,911.05 and 83,559.90

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Solution

The fourth proportional to 145,940.70, 218,911.05 and 83,559.90 is: 125,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,940.70 : 218,911.05 = 83,559.90 : x
  2. Step 2: Convert to fraction form
    145,940.70/218,911.05 = 83,559.90/x
  3. Step 3: Cross multiply
    145,940.70x = 218,911.05 × 83,559.90
  4. Step 4: Simplify right side
    145,940.70x = 18,292,185,446.90
  5. Step 5: Solve for x
    x = 18,292,185,446.90/145,940.70
  6. Step 6: Final answer
    x = 125,339.85

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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.