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Finding the Fourth Proportional to 141,165, 211,747.50 and 42,669

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Solution

The fourth proportional to 141,165, 211,747.50 and 42,669 is: 64,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,165 : 211,747.50 = 42,669 : x
  2. Step 2: Convert to fraction form
    141,165/211,747.50 = 42,669/x
  3. Step 3: Cross multiply
    141,165x = 211,747.50 × 42,669
  4. Step 4: Simplify right side
    141,165x = 9,035,054,077.50
  5. Step 5: Solve for x
    x = 9,035,054,077.50/141,165
  6. Step 6: Final answer
    x = 64,003.50

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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.