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Finding the Fourth Proportional to 101,812.43, 152,657.28 and 45,642.38

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Solution

The fourth proportional to 101,812.43, 152,657.28 and 45,642.38 is: 68,436.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,812.43 : 152,657.28 = 45,642.38 : x
  2. Step 2: Convert to fraction form
    101,812.43/152,657.28 = 45,642.38/x
  3. Step 3: Cross multiply
    101,812.43x = 152,657.28 × 45,642.38
  4. Step 4: Simplify right side
    101,812.43x = 6,967,640,820.24
  5. Step 5: Solve for x
    x = 6,967,640,820.24/101,812.43
  6. Step 6: Final answer
    x = 68,436.06

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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.