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Finding the Fourth Proportional to 209,353.68, 288,899.76 and 113,860.32

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Solution

The fourth proportional to 209,353.68, 288,899.76 and 113,860.32 is: 157,122.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,353.68 : 288,899.76 = 113,860.32 : x
  2. Step 2: Convert to fraction form
    209,353.68/288,899.76 = 113,860.32/x
  3. Step 3: Cross multiply
    209,353.68x = 288,899.76 × 113,860.32
  4. Step 4: Simplify right side
    209,353.68x = 32,894,219,121.52
  5. Step 5: Solve for x
    x = 32,894,219,121.52/209,353.68
  6. Step 6: Final answer
    x = 157,122.72

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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.