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Finding the Fourth Proportional to 87,696, 121,020.48 and 47,952

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Solution

The fourth proportional to 87,696, 121,020.48 and 47,952 is: 66,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,696 : 121,020.48 = 47,952 : x
  2. Step 2: Convert to fraction form
    87,696/121,020.48 = 47,952/x
  3. Step 3: Cross multiply
    87,696x = 121,020.48 × 47,952
  4. Step 4: Simplify right side
    87,696x = 5,803,174,056.96
  5. Step 5: Solve for x
    x = 5,803,174,056.96/87,696
  6. Step 6: Final answer
    x = 66,173.76

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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.