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Finding the Fourth Proportional to 71,904.80, 107,857.20 and 47,021.60

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Solution

The fourth proportional to 71,904.80, 107,857.20 and 47,021.60 is: 70,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,904.80 : 107,857.20 = 47,021.60 : x
  2. Step 2: Convert to fraction form
    71,904.80/107,857.20 = 47,021.60/x
  3. Step 3: Cross multiply
    71,904.80x = 107,857.20 × 47,021.60
  4. Step 4: Simplify right side
    71,904.80x = 5,071,618,115.52
  5. Step 5: Solve for x
    x = 5,071,618,115.52/71,904.80
  6. Step 6: Final answer
    x = 70,532.40

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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.