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Finding the Fourth Proportional to 67,678.98, 101,528.19 and 20,935.50

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Solution

The fourth proportional to 67,678.98, 101,528.19 and 20,935.50 is: 31,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,678.98 : 101,528.19 = 20,935.50 : x
  2. Step 2: Convert to fraction form
    67,678.98/101,528.19 = 20,935.50/x
  3. Step 3: Cross multiply
    67,678.98x = 101,528.19 × 20,935.50
  4. Step 4: Simplify right side
    67,678.98x = 2,125,543,421.75
  5. Step 5: Solve for x
    x = 2,125,543,421.75/67,678.98
  6. Step 6: Final answer
    x = 31,406.26

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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.