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Finding the Fourth Proportional to 209,242.80, 288,748.80 and 113,747.04

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Solution

The fourth proportional to 209,242.80, 288,748.80 and 113,747.04 is: 156,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242.80 : 288,748.80 = 113,747.04 : x
  2. Step 2: Convert to fraction form
    209,242.80/288,748.80 = 113,747.04/x
  3. Step 3: Cross multiply
    209,242.80x = 288,748.80 × 113,747.04
  4. Step 4: Simplify right side
    209,242.80x = 32,844,321,303.55
  5. Step 5: Solve for x
    x = 32,844,321,303.55/209,242.80
  6. Step 6: Final answer
    x = 156,967.51

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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.