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Finding the Fourth Proportional to 160,780.93, 221,978.00 and 103,519.53

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Solution

The fourth proportional to 160,780.93, 221,978.00 and 103,519.53 is: 142,921.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,780.93 : 221,978.00 = 103,519.53 : x
  2. Step 2: Convert to fraction form
    160,780.93/221,978.00 = 103,519.53/x
  3. Step 3: Cross multiply
    160,780.93x = 221,978.00 × 103,519.53
  4. Step 4: Simplify right side
    160,780.93x = 22,979,058,489.14
  5. Step 5: Solve for x
    x = 22,979,058,489.14/160,780.93
  6. Step 6: Final answer
    x = 142,921.54

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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.