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Finding the Fourth Proportional to 102,651.80, 153,911.10 and 43,471.40

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Solution

The fourth proportional to 102,651.80, 153,911.10 and 43,471.40 is: 65,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,651.80 : 153,911.10 = 43,471.40 : x
  2. Step 2: Convert to fraction form
    102,651.80/153,911.10 = 43,471.40/x
  3. Step 3: Cross multiply
    102,651.80x = 153,911.10 × 43,471.40
  4. Step 4: Simplify right side
    102,651.80x = 6,690,730,992.54
  5. Step 5: Solve for x
    x = 6,690,730,992.54/102,651.80
  6. Step 6: Final answer
    x = 65,178.90

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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.