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Finding the Fourth Proportional to 105,959.34, 158,937.21 and 56,028.78

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Solution

The fourth proportional to 105,959.34, 158,937.21 and 56,028.78 is: 84,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,959.34 : 158,937.21 = 56,028.78 : x
  2. Step 2: Convert to fraction form
    105,959.34/158,937.21 = 56,028.78/x
  3. Step 3: Cross multiply
    105,959.34x = 158,937.21 × 56,028.78
  4. Step 4: Simplify right side
    105,959.34x = 8,905,057,972.90
  5. Step 5: Solve for x
    x = 8,905,057,972.90/105,959.34
  6. Step 6: Final answer
    x = 84,042.22

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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.