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Finding the Fourth Proportional to 86,644, 129,946.02 and 27,468.64

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Solution

The fourth proportional to 86,644, 129,946.02 and 27,468.64 is: 41,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,644 : 129,946.02 = 27,468.64 : x
  2. Step 2: Convert to fraction form
    86,644/129,946.02 = 27,468.64/x
  3. Step 3: Cross multiply
    86,644x = 129,946.02 × 27,468.64
  4. Step 4: Simplify right side
    86,644x = 3,569,440,442.81
  5. Step 5: Solve for x
    x = 3,569,440,442.81/86,644
  6. Step 6: Final answer
    x = 41,196.63

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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.