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Finding the Fourth Proportional to 147,663.60, 221,527.80 and 47,806.80

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Solution

The fourth proportional to 147,663.60, 221,527.80 and 47,806.80 is: 71,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,663.60 : 221,527.80 = 47,806.80 : x
  2. Step 2: Convert to fraction form
    147,663.60/221,527.80 = 47,806.80/x
  3. Step 3: Cross multiply
    147,663.60x = 221,527.80 × 47,806.80
  4. Step 4: Simplify right side
    147,663.60x = 10,590,535,229.04
  5. Step 5: Solve for x
    x = 10,590,535,229.04/147,663.60
  6. Step 6: Final answer
    x = 71,720.69

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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.