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Finding the Fourth Proportional to 147,061.80, 220,811.40 and 113,819.40

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Solution

The fourth proportional to 147,061.80, 220,811.40 and 113,819.40 is: 170,898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,061.80 : 220,811.40 = 113,819.40 : x
  2. Step 2: Convert to fraction form
    147,061.80/220,811.40 = 113,819.40/x
  3. Step 3: Cross multiply
    147,061.80x = 220,811.40 × 113,819.40
  4. Step 4: Simplify right side
    147,061.80x = 25,132,621,061.16
  5. Step 5: Solve for x
    x = 25,132,621,061.16/147,061.80
  6. Step 6: Final answer
    x = 170,898.36

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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.