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Finding the Fourth Proportional to 87,970, 121,406.28 and 48,233.68

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Solution

The fourth proportional to 87,970, 121,406.28 and 48,233.68 is: 66,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,970 : 121,406.28 = 48,233.68 : x
  2. Step 2: Convert to fraction form
    87,970/121,406.28 = 48,233.68/x
  3. Step 3: Cross multiply
    87,970x = 121,406.28 × 48,233.68
  4. Step 4: Simplify right side
    87,970x = 5,855,871,659.51
  5. Step 5: Solve for x
    x = 5,855,871,659.51/87,970
  6. Step 6: Final answer
    x = 66,566.69

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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.