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Finding the Fourth Proportional to 160,978.19, 222,048.85 and 103,691.75

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Solution

The fourth proportional to 160,978.19, 222,048.85 and 103,691.75 is: 143,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,978.19 : 222,048.85 = 103,691.75 : x
  2. Step 2: Convert to fraction form
    160,978.19/222,048.85 = 103,691.75/x
  3. Step 3: Cross multiply
    160,978.19x = 222,048.85 × 103,691.75
  4. Step 4: Simplify right side
    160,978.19x = 23,024,633,841.99
  5. Step 5: Solve for x
    x = 23,024,633,841.99/160,978.19
  6. Step 6: Final answer
    x = 143,029.52

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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.