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Finding the Fourth Proportional to 209,354.79, 288,921.42 and 113,859.57

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Solution

The fourth proportional to 209,354.79, 288,921.42 and 113,859.57 is: 157,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,354.79 : 288,921.42 = 113,859.57 : x
  2. Step 2: Convert to fraction form
    209,354.79/288,921.42 = 113,859.57/x
  3. Step 3: Cross multiply
    209,354.79x = 288,921.42 × 113,859.57
  4. Step 4: Simplify right side
    209,354.79x = 32,896,468,644.99
  5. Step 5: Solve for x
    x = 32,896,468,644.99/209,354.79
  6. Step 6: Final answer
    x = 157,132.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.