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Finding the Fourth Proportional to 101,972.39, 140,706.27 and 56,646.20

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Solution

The fourth proportional to 101,972.39, 140,706.27 and 56,646.20 is: 78,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,972.39 : 140,706.27 = 56,646.20 : x
  2. Step 2: Convert to fraction form
    101,972.39/140,706.27 = 56,646.20/x
  3. Step 3: Cross multiply
    101,972.39x = 140,706.27 × 56,646.20
  4. Step 4: Simplify right side
    101,972.39x = 7,970,475,863.44
  5. Step 5: Solve for x
    x = 7,970,475,863.44/101,972.39
  6. Step 6: Final answer
    x = 78,163.08

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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.