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Finding the Fourth Proportional to 286,179.21, 429,276.96 and 75,817.17

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Solution

The fourth proportional to 286,179.21, 429,276.96 and 75,817.17 is: 113,727.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,179.21 : 429,276.96 = 75,817.17 : x
  2. Step 2: Convert to fraction form
    286,179.21/429,276.96 = 75,817.17/x
  3. Step 3: Cross multiply
    286,179.21x = 429,276.96 × 75,817.17
  4. Step 4: Simplify right side
    286,179.21x = 32,546,564,253.40
  5. Step 5: Solve for x
    x = 32,546,564,253.40/286,179.21
  6. Step 6: Final answer
    x = 113,727.91

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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.