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Finding the Fourth Proportional to 47,809.60, 71,714.40 and 40,206.40

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Solution

The fourth proportional to 47,809.60, 71,714.40 and 40,206.40 is: 60,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,809.60 : 71,714.40 = 40,206.40 : x
  2. Step 2: Convert to fraction form
    47,809.60/71,714.40 = 40,206.40/x
  3. Step 3: Cross multiply
    47,809.60x = 71,714.40 × 40,206.40
  4. Step 4: Simplify right side
    47,809.60x = 2,883,377,852.16
  5. Step 5: Solve for x
    x = 2,883,377,852.16/47,809.60
  6. Step 6: Final answer
    x = 60,309.60

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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.