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Finding the Fourth Proportional to 160,069.90, 220,897.02 and 87,472.78

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Solution

The fourth proportional to 160,069.90, 220,897.02 and 87,472.78 is: 120,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,069.90 : 220,897.02 = 87,472.78 : x
  2. Step 2: Convert to fraction form
    160,069.90/220,897.02 = 87,472.78/x
  3. Step 3: Cross multiply
    160,069.90x = 220,897.02 × 87,472.78
  4. Step 4: Simplify right side
    160,069.90x = 19,322,476,433.12
  5. Step 5: Solve for x
    x = 19,322,476,433.12/160,069.90
  6. Step 6: Final answer
    x = 120,712.74

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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.