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Finding the Fourth Proportional to 74,425.75, 102,707.54 and 40,891.75

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Solution

The fourth proportional to 74,425.75, 102,707.54 and 40,891.75 is: 56,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,425.75 : 102,707.54 = 40,891.75 : x
  2. Step 2: Convert to fraction form
    74,425.75/102,707.54 = 40,891.75/x
  3. Step 3: Cross multiply
    74,425.75x = 102,707.54 × 40,891.75
  4. Step 4: Simplify right side
    74,425.75x = 4,199,891,048.80
  5. Step 5: Solve for x
    x = 4,199,891,048.80/74,425.75
  6. Step 6: Final answer
    x = 56,430.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.