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Finding the Fourth Proportional to 153,249.76, 211,485.72 and 85,269.61

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Solution

The fourth proportional to 153,249.76, 211,485.72 and 85,269.61 is: 117,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,249.76 : 211,485.72 = 85,269.61 : x
  2. Step 2: Convert to fraction form
    153,249.76/211,485.72 = 85,269.61/x
  3. Step 3: Cross multiply
    153,249.76x = 211,485.72 × 85,269.61
  4. Step 4: Simplify right side
    153,249.76x = 18,033,304,864.97
  5. Step 5: Solve for x
    x = 18,033,304,864.97/153,249.76
  6. Step 6: Final answer
    x = 117,672.65

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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.