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Finding the Fourth Proportional to 105,689.88, 145,851.44 and 57,943.62

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Solution

The fourth proportional to 105,689.88, 145,851.44 and 57,943.62 is: 79,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,689.88 : 145,851.44 = 57,943.62 : x
  2. Step 2: Convert to fraction form
    105,689.88/145,851.44 = 57,943.62/x
  3. Step 3: Cross multiply
    105,689.88x = 145,851.44 × 57,943.62
  4. Step 4: Simplify right side
    105,689.88x = 8,451,160,126.09
  5. Step 5: Solve for x
    x = 8,451,160,126.09/105,689.88
  6. Step 6: Final answer
    x = 79,961.87

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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.