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Finding the Fourth Proportional to 101,385, 152,077.77 and 27,513

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Solution

The fourth proportional to 101,385, 152,077.77 and 27,513 is: 41,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,385 : 152,077.77 = 27,513 : x
  2. Step 2: Convert to fraction form
    101,385/152,077.77 = 27,513/x
  3. Step 3: Cross multiply
    101,385x = 152,077.77 × 27,513
  4. Step 4: Simplify right side
    101,385x = 4,184,115,686.01
  5. Step 5: Solve for x
    x = 4,184,115,686.01/101,385
  6. Step 6: Final answer
    x = 41,269.57

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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.