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Finding the Fourth Proportional to 86,976, 120,026.88 and 47,232

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Solution

The fourth proportional to 86,976, 120,026.88 and 47,232 is: 65,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,976 : 120,026.88 = 47,232 : x
  2. Step 2: Convert to fraction form
    86,976/120,026.88 = 47,232/x
  3. Step 3: Cross multiply
    86,976x = 120,026.88 × 47,232
  4. Step 4: Simplify right side
    86,976x = 5,669,109,596.16
  5. Step 5: Solve for x
    x = 5,669,109,596.16/86,976
  6. Step 6: Final answer
    x = 65,180.16

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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.