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Finding the Fourth Proportional to 147,606.80, 221,381.40 and 47,742.80

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Solution

The fourth proportional to 147,606.80, 221,381.40 and 47,742.80 is: 71,604.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,606.80 : 221,381.40 = 47,742.80 : x
  2. Step 2: Convert to fraction form
    147,606.80/221,381.40 = 47,742.80/x
  3. Step 3: Cross multiply
    147,606.80x = 221,381.40 × 47,742.80
  4. Step 4: Simplify right side
    147,606.80x = 10,569,367,903.92
  5. Step 5: Solve for x
    x = 10,569,367,903.92/147,606.80
  6. Step 6: Final answer
    x = 71,604.88

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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.