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Finding the Fourth Proportional to 101,493.83, 140,058 and 56,173.74

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Solution

The fourth proportional to 101,493.83, 140,058 and 56,173.74 is: 77,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,493.83 : 140,058 = 56,173.74 : x
  2. Step 2: Convert to fraction form
    101,493.83/140,058 = 56,173.74/x
  3. Step 3: Cross multiply
    101,493.83x = 140,058 × 56,173.74
  4. Step 4: Simplify right side
    101,493.83x = 7,867,581,676.92
  5. Step 5: Solve for x
    x = 7,867,581,676.92/101,493.83
  6. Step 6: Final answer
    x = 77,517.84

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1.5x scale

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.