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Finding the Fourth Proportional to 101,706.31, 140,362.10 and 61,429.87

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Solution

The fourth proportional to 101,706.31, 140,362.10 and 61,429.87 is: 84,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,706.31 : 140,362.10 = 61,429.87 : x
  2. Step 2: Convert to fraction form
    101,706.31/140,362.10 = 61,429.87/x
  3. Step 3: Cross multiply
    101,706.31x = 140,362.10 × 61,429.87
  4. Step 4: Simplify right side
    101,706.31x = 8,622,425,555.93
  5. Step 5: Solve for x
    x = 8,622,425,555.93/101,706.31
  6. Step 6: Final answer
    x = 84,777.69

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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.