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Finding the Fourth Proportional to 101,801.75, 152,641.10 and 45,631.38

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Solution

The fourth proportional to 101,801.75, 152,641.10 and 45,631.38 is: 68,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801.75 : 152,641.10 = 45,631.38 : x
  2. Step 2: Convert to fraction form
    101,801.75/152,641.10 = 45,631.38/x
  3. Step 3: Cross multiply
    101,801.75x = 152,641.10 × 45,631.38
  4. Step 4: Simplify right side
    101,801.75x = 6,965,223,809.56
  5. Step 5: Solve for x
    x = 6,965,223,809.56/101,801.75
  6. Step 6: Final answer
    x = 68,419.49

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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.