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Finding the Fourth Proportional to 209,635.76, 289,252.32 and 124,736.24

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Solution

The fourth proportional to 209,635.76, 289,252.32 and 124,736.24 is: 172,109.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,635.76 : 289,252.32 = 124,736.24 : x
  2. Step 2: Convert to fraction form
    209,635.76/289,252.32 = 124,736.24/x
  3. Step 3: Cross multiply
    209,635.76x = 289,252.32 × 124,736.24
  4. Step 4: Simplify right side
    209,635.76x = 36,080,246,808.08
  5. Step 5: Solve for x
    x = 36,080,246,808.08/209,635.76
  6. Step 6: Final answer
    x = 172,109.22

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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.