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Finding the Fourth Proportional to 102,765.90, 154,112.01 and 43,605.66

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Solution

The fourth proportional to 102,765.90, 154,112.01 and 43,605.66 is: 65,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765.90 : 154,112.01 = 43,605.66 : x
  2. Step 2: Convert to fraction form
    102,765.90/154,112.01 = 43,605.66/x
  3. Step 3: Cross multiply
    102,765.90x = 154,112.01 × 43,605.66
  4. Step 4: Simplify right side
    102,765.90x = 6,720,155,909.98
  5. Step 5: Solve for x
    x = 6,720,155,909.98/102,765.90
  6. Step 6: Final answer
    x = 65,392.86

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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.