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Finding the Fourth Proportional to 141,171, 211,756.50 and 42,675

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Solution

The fourth proportional to 141,171, 211,756.50 and 42,675 is: 64,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,171 : 211,756.50 = 42,675 : x
  2. Step 2: Convert to fraction form
    141,171/211,756.50 = 42,675/x
  3. Step 3: Cross multiply
    141,171x = 211,756.50 × 42,675
  4. Step 4: Simplify right side
    141,171x = 9,036,708,637.50
  5. Step 5: Solve for x
    x = 9,036,708,637.50/141,171
  6. Step 6: Final answer
    x = 64,012.50

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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.