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Finding the Fourth Proportional to 118,034.64, 162,923.40 and 77,205.24

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Solution

The fourth proportional to 118,034.64, 162,923.40 and 77,205.24 is: 106,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,034.64 : 162,923.40 = 77,205.24 : x
  2. Step 2: Convert to fraction form
    118,034.64/162,923.40 = 77,205.24/x
  3. Step 3: Cross multiply
    118,034.64x = 162,923.40 × 77,205.24
  4. Step 4: Simplify right side
    118,034.64x = 12,578,540,198.62
  5. Step 5: Solve for x
    x = 12,578,540,198.62/118,034.64
  6. Step 6: Final answer
    x = 106,566.51

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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.