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Finding the Fourth Proportional to 286,639.40, 429,960.14 and 86,961.48

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Solution

The fourth proportional to 286,639.40, 429,960.14 and 86,961.48 is: 130,442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,639.40 : 429,960.14 = 86,961.48 : x
  2. Step 2: Convert to fraction form
    286,639.40/429,960.14 = 86,961.48/x
  3. Step 3: Cross multiply
    286,639.40x = 429,960.14 × 86,961.48
  4. Step 4: Simplify right side
    286,639.40x = 37,389,970,115.41
  5. Step 5: Solve for x
    x = 37,389,970,115.41/286,639.40
  6. Step 6: Final answer
    x = 130,442.54

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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.