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Finding the Fourth Proportional to 47,465.60, 71,140.80 and 21,142.40

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Solution

The fourth proportional to 47,465.60, 71,140.80 and 21,142.40 is: 31,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,465.60 : 71,140.80 = 21,142.40 : x
  2. Step 2: Convert to fraction form
    47,465.60/71,140.80 = 21,142.40/x
  3. Step 3: Cross multiply
    47,465.60x = 71,140.80 × 21,142.40
  4. Step 4: Simplify right side
    47,465.60x = 1,504,087,249.92
  5. Step 5: Solve for x
    x = 1,504,087,249.92/47,465.60
  6. Step 6: Final answer
    x = 31,687.94

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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.