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Finding the Fourth Proportional to 209,066.32, 288,511.77 and 113,573

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Solution

The fourth proportional to 209,066.32, 288,511.77 and 113,573 is: 156,730.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,066.32 : 288,511.77 = 113,573 : x
  2. Step 2: Convert to fraction form
    209,066.32/288,511.77 = 113,573/x
  3. Step 3: Cross multiply
    209,066.32x = 288,511.77 × 113,573
  4. Step 4: Simplify right side
    209,066.32x = 32,767,147,254.21
  5. Step 5: Solve for x
    x = 32,767,147,254.21/209,066.32
  6. Step 6: Final answer
    x = 156,730.87

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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.