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Finding the Fourth Proportional to 101,472, 140,031.36 and 56,760

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Solution

The fourth proportional to 101,472, 140,031.36 and 56,760 is: 78,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,472 : 140,031.36 = 56,760 : x
  2. Step 2: Convert to fraction form
    101,472/140,031.36 = 56,760/x
  3. Step 3: Cross multiply
    101,472x = 140,031.36 × 56,760
  4. Step 4: Simplify right side
    101,472x = 7,948,179,993.60
  5. Step 5: Solve for x
    x = 7,948,179,993.60/101,472
  6. Step 6: Final answer
    x = 78,328.80

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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.