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Finding the Fourth Proportional to 209,560.68, 314,151.48 and 76,409.79

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Solution

The fourth proportional to 209,560.68, 314,151.48 and 76,409.79 is: 114,545.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,560.68 : 314,151.48 = 76,409.79 : x
  2. Step 2: Convert to fraction form
    209,560.68/314,151.48 = 76,409.79/x
  3. Step 3: Cross multiply
    209,560.68x = 314,151.48 × 76,409.79
  4. Step 4: Simplify right side
    209,560.68x = 24,004,248,614.99
  5. Step 5: Solve for x
    x = 24,004,248,614.99/209,560.68
  6. Step 6: Final answer
    x = 114,545.58

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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.