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Finding the Fourth Proportional to 101,645, 140,270.10 and 61,901

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Solution

The fourth proportional to 101,645, 140,270.10 and 61,901 is: 85,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,645 : 140,270.10 = 61,901 : x
  2. Step 2: Convert to fraction form
    101,645/140,270.10 = 61,901/x
  3. Step 3: Cross multiply
    101,645x = 140,270.10 × 61,901
  4. Step 4: Simplify right side
    101,645x = 8,682,859,460.10
  5. Step 5: Solve for x
    x = 8,682,859,460.10/101,645
  6. Step 6: Final answer
    x = 85,423.38

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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.