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Finding the Fourth Proportional to 188,872.64, 260,645.80 and 102,832.20

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Solution

The fourth proportional to 188,872.64, 260,645.80 and 102,832.20 is: 141,909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,872.64 : 260,645.80 = 102,832.20 : x
  2. Step 2: Convert to fraction form
    188,872.64/260,645.80 = 102,832.20/x
  3. Step 3: Cross multiply
    188,872.64x = 260,645.80 × 102,832.20
  4. Step 4: Simplify right side
    188,872.64x = 26,802,781,034.76
  5. Step 5: Solve for x
    x = 26,802,781,034.76/188,872.64
  6. Step 6: Final answer
    x = 141,909.28

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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.