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Finding the Fourth Proportional to 107,434.40, 160,978.80 and 67,920.80

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Solution

The fourth proportional to 107,434.40, 160,978.80 and 67,920.80 is: 101,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,434.40 : 160,978.80 = 67,920.80 : x
  2. Step 2: Convert to fraction form
    107,434.40/160,978.80 = 67,920.80/x
  3. Step 3: Cross multiply
    107,434.40x = 160,978.80 × 67,920.80
  4. Step 4: Simplify right side
    107,434.40x = 10,933,808,879.04
  5. Step 5: Solve for x
    x = 10,933,808,879.04/107,434.40
  6. Step 6: Final answer
    x = 101,771.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.