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Finding the Fourth Proportional to 87,749, 121,094.10 and 48,005

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Solution

The fourth proportional to 87,749, 121,094.10 and 48,005 is: 66,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,749 : 121,094.10 = 48,005 : x
  2. Step 2: Convert to fraction form
    87,749/121,094.10 = 48,005/x
  3. Step 3: Cross multiply
    87,749x = 121,094.10 × 48,005
  4. Step 4: Simplify right side
    87,749x = 5,813,122,270.50
  5. Step 5: Solve for x
    x = 5,813,122,270.50/87,749
  6. Step 6: Final answer
    x = 66,247.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.