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Finding the Fourth Proportional to 160,855.50, 221,947.65 and 89,220.18

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Solution

The fourth proportional to 160,855.50, 221,947.65 and 89,220.18 is: 123,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,855.50 : 221,947.65 = 89,220.18 : x
  2. Step 2: Convert to fraction form
    160,855.50/221,947.65 = 89,220.18/x
  3. Step 3: Cross multiply
    160,855.50x = 221,947.65 × 89,220.18
  4. Step 4: Simplify right side
    160,855.50x = 19,802,209,283.58
  5. Step 5: Solve for x
    x = 19,802,209,283.58/160,855.50
  6. Step 6: Final answer
    x = 123,105.58

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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.