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Finding the Fourth Proportional to 101,994.30, 140,729.13 and 61,707.06

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Solution

The fourth proportional to 101,994.30, 140,729.13 and 61,707.06 is: 85,141.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,994.30 : 140,729.13 = 61,707.06 : x
  2. Step 2: Convert to fraction form
    101,994.30/140,729.13 = 61,707.06/x
  3. Step 3: Cross multiply
    101,994.30x = 140,729.13 × 61,707.06
  4. Step 4: Simplify right side
    101,994.30x = 8,683,980,868.66
  5. Step 5: Solve for x
    x = 8,683,980,868.66/101,994.30
  6. Step 6: Final answer
    x = 85,141.83

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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.