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Finding the Fourth Proportional to 54,720.40, 82,080.60 and 47,808.40

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Solution

The fourth proportional to 54,720.40, 82,080.60 and 47,808.40 is: 71,712.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,720.40 : 82,080.60 = 47,808.40 : x
  2. Step 2: Convert to fraction form
    54,720.40/82,080.60 = 47,808.40/x
  3. Step 3: Cross multiply
    54,720.40x = 82,080.60 × 47,808.40
  4. Step 4: Simplify right side
    54,720.40x = 3,924,142,157.04
  5. Step 5: Solve for x
    x = 3,924,142,157.04/54,720.40
  6. Step 6: Final answer
    x = 71,712.60

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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.