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Finding the Fourth Proportional to 127,584, 191,416.32 and 57,469.44

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Solution

The fourth proportional to 127,584, 191,416.32 and 57,469.44 is: 86,222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,584 : 191,416.32 = 57,469.44 : x
  2. Step 2: Convert to fraction form
    127,584/191,416.32 = 57,469.44/x
  3. Step 3: Cross multiply
    127,584x = 191,416.32 × 57,469.44
  4. Step 4: Simplify right side
    127,584x = 11,000,588,717.26
  5. Step 5: Solve for x
    x = 11,000,588,717.26/127,584
  6. Step 6: Final answer
    x = 86,222.32

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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.