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Finding the Fourth Proportional to 160,980.72, 222,135.12 and 89,363.76

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Solution

The fourth proportional to 160,980.72, 222,135.12 and 89,363.76 is: 123,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,980.72 : 222,135.12 = 89,363.76 : x
  2. Step 2: Convert to fraction form
    160,980.72/222,135.12 = 89,363.76/x
  3. Step 3: Cross multiply
    160,980.72x = 222,135.12 × 89,363.76
  4. Step 4: Simplify right side
    160,980.72x = 19,850,829,551.25
  5. Step 5: Solve for x
    x = 19,850,829,551.25/160,980.72
  6. Step 6: Final answer
    x = 123,311.84

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1.5x scale

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.