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Finding the Fourth Proportional to 86,928, 119,960.64 and 47,184

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Solution

The fourth proportional to 86,928, 119,960.64 and 47,184 is: 65,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,928 : 119,960.64 = 47,184 : x
  2. Step 2: Convert to fraction form
    86,928/119,960.64 = 47,184/x
  3. Step 3: Cross multiply
    86,928x = 119,960.64 × 47,184
  4. Step 4: Simplify right side
    86,928x = 5,660,222,837.76
  5. Step 5: Solve for x
    x = 5,660,222,837.76/86,928
  6. Step 6: Final answer
    x = 65,113.92

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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.