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Finding the Fourth Proportional to 125,825, 188,766.66 and 42,719

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Solution

The fourth proportional to 125,825, 188,766.66 and 42,719 is: 64,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,825 : 188,766.66 = 42,719 : x
  2. Step 2: Convert to fraction form
    125,825/188,766.66 = 42,719/x
  3. Step 3: Cross multiply
    125,825x = 188,766.66 × 42,719
  4. Step 4: Simplify right side
    125,825x = 8,063,922,948.54
  5. Step 5: Solve for x
    x = 8,063,922,948.54/125,825
  6. Step 6: Final answer
    x = 64,088.40

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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.