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Finding the Fourth Proportional to 209,598.68, 314,444.43 and 76,478.57

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Solution

The fourth proportional to 209,598.68, 314,444.43 and 76,478.57 is: 114,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,598.68 : 314,444.43 = 76,478.57 : x
  2. Step 2: Convert to fraction form
    209,598.68/314,444.43 = 76,478.57/x
  3. Step 3: Cross multiply
    209,598.68x = 314,444.43 × 76,478.57
  4. Step 4: Simplify right side
    209,598.68x = 24,048,260,350.87
  5. Step 5: Solve for x
    x = 24,048,260,350.87/209,598.68
  6. Step 6: Final answer
    x = 114,734.79

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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.