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Finding the Fourth Proportional to 64,987.31, 97,259.18 and 54,469.22

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Solution

The fourth proportional to 64,987.31, 97,259.18 and 54,469.22 is: 81,517.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,987.31 : 97,259.18 = 54,469.22 : x
  2. Step 2: Convert to fraction form
    64,987.31/97,259.18 = 54,469.22/x
  3. Step 3: Cross multiply
    64,987.31x = 97,259.18 × 54,469.22
  4. Step 4: Simplify right side
    64,987.31x = 5,297,630,913.80
  5. Step 5: Solve for x
    x = 5,297,630,913.80/64,987.31
  6. Step 6: Final answer
    x = 81,517.94

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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.