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Finding the Fourth Proportional to 101,921.40, 140,648.85 and 56,597.94

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Solution

The fourth proportional to 101,921.40, 140,648.85 and 56,597.94 is: 78,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,921.40 : 140,648.85 = 56,597.94 : x
  2. Step 2: Convert to fraction form
    101,921.40/140,648.85 = 56,597.94/x
  3. Step 3: Cross multiply
    101,921.40x = 140,648.85 × 56,597.94
  4. Step 4: Simplify right side
    101,921.40x = 7,960,435,173.37
  5. Step 5: Solve for x
    x = 7,960,435,173.37/101,921.40
  6. Step 6: Final answer
    x = 78,103.67

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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.