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Finding the Fourth Proportional to 101,018.40, 151,855.65 and 71,639.70

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Solution

The fourth proportional to 101,018.40, 151,855.65 and 71,639.70 is: 107,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,018.40 : 151,855.65 = 71,639.70 : x
  2. Step 2: Convert to fraction form
    101,018.40/151,855.65 = 71,639.70/x
  3. Step 3: Cross multiply
    101,018.40x = 151,855.65 × 71,639.70
  4. Step 4: Simplify right side
    101,018.40x = 10,878,893,209.31
  5. Step 5: Solve for x
    x = 10,878,893,209.31/101,018.40
  6. Step 6: Final answer
    x = 107,692.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.