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Finding the Fourth Proportional to 160,306, 221,232.52 and 89,650

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Solution

The fourth proportional to 160,306, 221,232.52 and 89,650 is: 123,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,306 : 221,232.52 = 89,650 : x
  2. Step 2: Convert to fraction form
    160,306/221,232.52 = 89,650/x
  3. Step 3: Cross multiply
    160,306x = 221,232.52 × 89,650
  4. Step 4: Simplify right side
    160,306x = 19,833,495,418
  5. Step 5: Solve for x
    x = 19,833,495,418/160,306
  6. Step 6: Final answer
    x = 123,722.73

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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.