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Finding the Fourth Proportional to 101,643, 140,267.34 and 61,899

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Solution

The fourth proportional to 101,643, 140,267.34 and 61,899 is: 85,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,643 : 140,267.34 = 61,899 : x
  2. Step 2: Convert to fraction form
    101,643/140,267.34 = 61,899/x
  3. Step 3: Cross multiply
    101,643x = 140,267.34 × 61,899
  4. Step 4: Simplify right side
    101,643x = 8,682,408,078.66
  5. Step 5: Solve for x
    x = 8,682,408,078.66/101,643
  6. Step 6: Final answer
    x = 85,420.62

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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.