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Finding the Fourth Proportional to 101,534.96, 140,192.16 and 81,502.04

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Solution

The fourth proportional to 101,534.96, 140,192.16 and 81,502.04 is: 112,532.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,534.96 : 140,192.16 = 81,502.04 : x
  2. Step 2: Convert to fraction form
    101,534.96/140,192.16 = 81,502.04/x
  3. Step 3: Cross multiply
    101,534.96x = 140,192.16 × 81,502.04
  4. Step 4: Simplify right side
    101,534.96x = 11,425,947,032.01
  5. Step 5: Solve for x
    x = 11,425,947,032.01/101,534.96
  6. Step 6: Final answer
    x = 112,532.15

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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.