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Finding the Fourth Proportional to 234,934.57, 352,322.87 and 85,143.50

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Solution

The fourth proportional to 234,934.57, 352,322.87 and 85,143.50 is: 127,686.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,934.57 : 352,322.87 = 85,143.50 : x
  2. Step 2: Convert to fraction form
    234,934.57/352,322.87 = 85,143.50/x
  3. Step 3: Cross multiply
    234,934.57x = 352,322.87 × 85,143.50
  4. Step 4: Simplify right side
    234,934.57x = 29,998,000,094.51
  5. Step 5: Solve for x
    x = 29,998,000,094.51/234,934.57
  6. Step 6: Final answer
    x = 127,686.62

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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.