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Finding the Fourth Proportional to 67,978.98, 101,968.47 and 21,235.50

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Solution

The fourth proportional to 67,978.98, 101,968.47 and 21,235.50 is: 31,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,978.98 : 101,968.47 = 21,235.50 : x
  2. Step 2: Convert to fraction form
    67,978.98/101,968.47 = 21,235.50/x
  3. Step 3: Cross multiply
    67,978.98x = 101,968.47 × 21,235.50
  4. Step 4: Simplify right side
    67,978.98x = 2,165,351,444.69
  5. Step 5: Solve for x
    x = 2,165,351,444.69/67,978.98
  6. Step 6: Final answer
    x = 31,853.25

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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.