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Finding the Fourth Proportional to 209,145.68, 313,780.08 and 76,023.84

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Solution

The fourth proportional to 209,145.68, 313,780.08 and 76,023.84 is: 114,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,145.68 : 313,780.08 = 76,023.84 : x
  2. Step 2: Convert to fraction form
    209,145.68/313,780.08 = 76,023.84/x
  3. Step 3: Cross multiply
    209,145.68x = 313,780.08 × 76,023.84
  4. Step 4: Simplify right side
    209,145.68x = 23,854,766,597.11
  5. Step 5: Solve for x
    x = 23,854,766,597.11/209,145.68
  6. Step 6: Final answer
    x = 114,058.14

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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.