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Finding the Fourth Proportional to 189,008.40, 283,631.28 and 76,689.10

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Solution

The fourth proportional to 189,008.40, 283,631.28 and 76,689.10 is: 115,081.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008.40 : 283,631.28 = 76,689.10 : x
  2. Step 2: Convert to fraction form
    189,008.40/283,631.28 = 76,689.10/x
  3. Step 3: Cross multiply
    189,008.40x = 283,631.28 × 76,689.10
  4. Step 4: Simplify right side
    189,008.40x = 21,751,427,595.05
  5. Step 5: Solve for x
    x = 21,751,427,595.05/189,008.40
  6. Step 6: Final answer
    x = 115,081.80

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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.