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Finding the Fourth Proportional to 160,778.60, 221,866.02 and 89,153

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Solution

The fourth proportional to 160,778.60, 221,866.02 and 89,153 is: 123,026.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,778.60 : 221,866.02 = 89,153 : x
  2. Step 2: Convert to fraction form
    160,778.60/221,866.02 = 89,153/x
  3. Step 3: Cross multiply
    160,778.60x = 221,866.02 × 89,153
  4. Step 4: Simplify right side
    160,778.60x = 19,780,021,281.06
  5. Step 5: Solve for x
    x = 19,780,021,281.06/160,778.60
  6. Step 6: Final answer
    x = 123,026.46

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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.