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Finding the Fourth Proportional to 188,645.32, 282,970.20 and 74,820.88

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Solution

The fourth proportional to 188,645.32, 282,970.20 and 74,820.88 is: 112,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,645.32 : 282,970.20 = 74,820.88 : x
  2. Step 2: Convert to fraction form
    188,645.32/282,970.20 = 74,820.88/x
  3. Step 3: Cross multiply
    188,645.32x = 282,970.20 × 74,820.88
  4. Step 4: Simplify right side
    188,645.32x = 21,172,079,377.78
  5. Step 5: Solve for x
    x = 21,172,079,377.78/188,645.32
  6. Step 6: Final answer
    x = 112,232.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.