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Finding the Fourth Proportional to 101,706.87, 140,411.34 and 69,489.93

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Solution

The fourth proportional to 101,706.87, 140,411.34 and 69,489.93 is: 95,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706.87 : 140,411.34 = 69,489.93 : x
  2. Step 2: Convert to fraction form
    101,706.87/140,411.34 = 69,489.93/x
  3. Step 3: Cross multiply
    101,706.87x = 140,411.34 × 69,489.93
  4. Step 4: Simplify right side
    101,706.87x = 9,757,174,187.81
  5. Step 5: Solve for x
    x = 9,757,174,187.81/101,706.87
  6. Step 6: Final answer
    x = 95,934.27

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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.