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Finding the Fourth Proportional to 160,281.83, 221,092.54 and 105,834.49

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Solution

The fourth proportional to 160,281.83, 221,092.54 and 105,834.49 is: 145,987.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,281.83 : 221,092.54 = 105,834.49 : x
  2. Step 2: Convert to fraction form
    160,281.83/221,092.54 = 105,834.49/x
  3. Step 3: Cross multiply
    160,281.83x = 221,092.54 × 105,834.49
  4. Step 4: Simplify right side
    160,281.83x = 23,399,215,396.39
  5. Step 5: Solve for x
    x = 23,399,215,396.39/160,281.83
  6. Step 6: Final answer
    x = 145,987.95

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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.