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Finding the Fourth Proportional to 81,534.15, 122,301.23 and 81,534.15

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Solution

The fourth proportional to 81,534.15, 122,301.23 and 81,534.15 is: 122,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,534.15 : 122,301.23 = 81,534.15 : x
  2. Step 2: Convert to fraction form
    81,534.15/122,301.23 = 81,534.15/x
  3. Step 3: Cross multiply
    81,534.15x = 122,301.23 × 81,534.15
  4. Step 4: Simplify right side
    81,534.15x = 9,971,726,424.33
  5. Step 5: Solve for x
    x = 9,971,726,424.33/81,534.15
  6. Step 6: Final answer
    x = 122,301.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.