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Finding the Fourth Proportional to 146,890.80, 220,409.10 and 83,759.40

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Solution

The fourth proportional to 146,890.80, 220,409.10 and 83,759.40 is: 125,680.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,890.80 : 220,409.10 = 83,759.40 : x
  2. Step 2: Convert to fraction form
    146,890.80/220,409.10 = 83,759.40/x
  3. Step 3: Cross multiply
    146,890.80x = 220,409.10 × 83,759.40
  4. Step 4: Simplify right side
    146,890.80x = 18,461,333,970.54
  5. Step 5: Solve for x
    x = 18,461,333,970.54/146,890.80
  6. Step 6: Final answer
    x = 125,680.67

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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.