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Finding the Fourth Proportional to 101,970.70, 140,719.78 and 56,651.50

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Solution

The fourth proportional to 101,970.70, 140,719.78 and 56,651.50 is: 78,179.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,970.70 : 140,719.78 = 56,651.50 : x
  2. Step 2: Convert to fraction form
    101,970.70/140,719.78 = 56,651.50/x
  3. Step 3: Cross multiply
    101,970.70x = 140,719.78 × 56,651.50
  4. Step 4: Simplify right side
    101,970.70x = 7,971,986,863.38
  5. Step 5: Solve for x
    x = 7,971,986,863.38/101,970.70
  6. Step 6: Final answer
    x = 78,179.19

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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.