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Finding the Fourth Proportional to 47,412.60, 71,118.90 and 39,809.40

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Solution

The fourth proportional to 47,412.60, 71,118.90 and 39,809.40 is: 59,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412.60 : 71,118.90 = 39,809.40 : x
  2. Step 2: Convert to fraction form
    47,412.60/71,118.90 = 39,809.40/x
  3. Step 3: Cross multiply
    47,412.60x = 71,118.90 × 39,809.40
  4. Step 4: Simplify right side
    47,412.60x = 2,831,200,737.66
  5. Step 5: Solve for x
    x = 2,831,200,737.66/47,412.60
  6. Step 6: Final answer
    x = 59,714.10

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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.