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Finding the Fourth Proportional to 147,640.60, 221,493.30 and 47,783.80

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Solution

The fourth proportional to 147,640.60, 221,493.30 and 47,783.80 is: 71,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,640.60 : 221,493.30 = 47,783.80 : x
  2. Step 2: Convert to fraction form
    147,640.60/221,493.30 = 47,783.80/x
  3. Step 3: Cross multiply
    147,640.60x = 221,493.30 × 47,783.80
  4. Step 4: Simplify right side
    147,640.60x = 10,583,791,548.54
  5. Step 5: Solve for x
    x = 10,583,791,548.54/147,640.60
  6. Step 6: Final answer
    x = 71,686.19

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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.