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Finding the Fourth Proportional to 67,657.48, 101,495.94 and 20,914

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Solution

The fourth proportional to 67,657.48, 101,495.94 and 20,914 is: 31,374.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,657.48 : 101,495.94 = 20,914 : x
  2. Step 2: Convert to fraction form
    67,657.48/101,495.94 = 20,914/x
  3. Step 3: Cross multiply
    67,657.48x = 101,495.94 × 20,914
  4. Step 4: Simplify right side
    67,657.48x = 2,122,686,089.16
  5. Step 5: Solve for x
    x = 2,122,686,089.16/67,657.48
  6. Step 6: Final answer
    x = 31,374.00

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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.