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Finding the Fourth Proportional to 101,970.62, 140,717.49 and 56,648.42

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Solution

The fourth proportional to 101,970.62, 140,717.49 and 56,648.42 is: 78,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.62 : 140,717.49 = 56,648.42 : x
  2. Step 2: Convert to fraction form
    101,970.62/140,717.49 = 56,648.42/x
  3. Step 3: Cross multiply
    101,970.62x = 140,717.49 × 56,648.42
  4. Step 4: Simplify right side
    101,970.62x = 7,971,423,474.87
  5. Step 5: Solve for x
    x = 7,971,423,474.87/101,970.62
  6. Step 6: Final answer
    x = 78,173.73

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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.