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Finding the Fourth Proportional to 67,969, 101,953.50 and 18,721

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Solution

The fourth proportional to 67,969, 101,953.50 and 18,721 is: 28,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,969 : 101,953.50 = 18,721 : x
  2. Step 2: Convert to fraction form
    67,969/101,953.50 = 18,721/x
  3. Step 3: Cross multiply
    67,969x = 101,953.50 × 18,721
  4. Step 4: Simplify right side
    67,969x = 1,908,671,473.50
  5. Step 5: Solve for x
    x = 1,908,671,473.50/67,969
  6. Step 6: Final answer
    x = 28,081.50

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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.