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Finding the Fourth Proportional to 101,876.85, 140,606.82 and 56,569.32

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Solution

The fourth proportional to 101,876.85, 140,606.82 and 56,569.32 is: 78,074.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,876.85 : 140,606.82 = 56,569.32 : x
  2. Step 2: Convert to fraction form
    101,876.85/140,606.82 = 56,569.32/x
  3. Step 3: Cross multiply
    101,876.85x = 140,606.82 × 56,569.32
  4. Step 4: Simplify right side
    101,876.85x = 7,954,032,194.76
  5. Step 5: Solve for x
    x = 7,954,032,194.76/101,876.85
  6. Step 6: Final answer
    x = 78,074.97

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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.