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Finding the Fourth Proportional to 160,857.27, 221,965.02 and 89,219.34

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Solution

The fourth proportional to 160,857.27, 221,965.02 and 89,219.34 is: 123,112.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,857.27 : 221,965.02 = 89,219.34 : x
  2. Step 2: Convert to fraction form
    160,857.27/221,965.02 = 89,219.34/x
  3. Step 3: Cross multiply
    160,857.27x = 221,965.02 × 89,219.34
  4. Step 4: Simplify right side
    160,857.27x = 19,803,572,587.49
  5. Step 5: Solve for x
    x = 19,803,572,587.49/160,857.27
  6. Step 6: Final answer
    x = 123,112.70

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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.