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Finding the Fourth Proportional to 87,716, 121,050.96 and 47,972

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Solution

The fourth proportional to 87,716, 121,050.96 and 47,972 is: 66,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,716 : 121,050.96 = 47,972 : x
  2. Step 2: Convert to fraction form
    87,716/121,050.96 = 47,972/x
  3. Step 3: Cross multiply
    87,716x = 121,050.96 × 47,972
  4. Step 4: Simplify right side
    87,716x = 5,807,056,653.12
  5. Step 5: Solve for x
    x = 5,807,056,653.12/87,716
  6. Step 6: Final answer
    x = 66,202.94

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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.