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Finding the Fourth Proportional to 101,916.91, 140,640.61 and 56,597.77

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Solution

The fourth proportional to 101,916.91, 140,640.61 and 56,597.77 is: 78,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916.91 : 140,640.61 = 56,597.77 : x
  2. Step 2: Convert to fraction form
    101,916.91/140,640.61 = 56,597.77/x
  3. Step 3: Cross multiply
    101,916.91x = 140,640.61 × 56,597.77
  4. Step 4: Simplify right side
    101,916.91x = 7,959,944,755.95
  5. Step 5: Solve for x
    x = 7,959,944,755.95/101,916.91
  6. Step 6: Final answer
    x = 78,102.30

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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.