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Finding the Fourth Proportional to 188,646.32, 282,971.70 and 74,821.88

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Solution

The fourth proportional to 188,646.32, 282,971.70 and 74,821.88 is: 112,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,646.32 : 282,971.70 = 74,821.88 : x
  2. Step 2: Convert to fraction form
    188,646.32/282,971.70 = 74,821.88/x
  3. Step 3: Cross multiply
    188,646.32x = 282,971.70 × 74,821.88
  4. Step 4: Simplify right side
    188,646.32x = 21,172,474,580.80
  5. Step 5: Solve for x
    x = 21,172,474,580.80/188,646.32
  6. Step 6: Final answer
    x = 112,233.70

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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.