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Finding the Fourth Proportional to 101,978.37, 140,739.71 and 61,702.11

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Solution

The fourth proportional to 101,978.37, 140,739.71 and 61,702.11 is: 85,154.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978.37 : 140,739.71 = 61,702.11 : x
  2. Step 2: Convert to fraction form
    101,978.37/140,739.71 = 61,702.11/x
  3. Step 3: Cross multiply
    101,978.37x = 140,739.71 × 61,702.11
  4. Step 4: Simplify right side
    101,978.37x = 8,683,936,759.28
  5. Step 5: Solve for x
    x = 8,683,936,759.28/101,978.37
  6. Step 6: Final answer
    x = 85,154.69

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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.