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Finding the Fourth Proportional to 160,813.80, 221,920.02 and 88,217

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Solution

The fourth proportional to 160,813.80, 221,920.02 and 88,217 is: 121,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,813.80 : 221,920.02 = 88,217 : x
  2. Step 2: Convert to fraction form
    160,813.80/221,920.02 = 88,217/x
  3. Step 3: Cross multiply
    160,813.80x = 221,920.02 × 88,217
  4. Step 4: Simplify right side
    160,813.80x = 19,577,118,404.34
  5. Step 5: Solve for x
    x = 19,577,118,404.34/160,813.80
  6. Step 6: Final answer
    x = 121,737.80

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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.