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Finding the Fourth Proportional to 209,353.42, 288,909.81 and 113,862.22

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Solution

The fourth proportional to 209,353.42, 288,909.81 and 113,862.22 is: 157,131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,353.42 : 288,909.81 = 113,862.22 : x
  2. Step 2: Convert to fraction form
    209,353.42/288,909.81 = 113,862.22/x
  3. Step 3: Cross multiply
    209,353.42x = 288,909.81 × 113,862.22
  4. Step 4: Simplify right side
    209,353.42x = 32,895,912,346.38
  5. Step 5: Solve for x
    x = 32,895,912,346.38/209,353.42
  6. Step 6: Final answer
    x = 157,131.00

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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.