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Finding the Fourth Proportional to 64,753.36, 97,137 and 20,381.44

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Solution

The fourth proportional to 64,753.36, 97,137 and 20,381.44 is: 30,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,753.36 : 97,137 = 20,381.44 : x
  2. Step 2: Convert to fraction form
    64,753.36/97,137 = 20,381.44/x
  3. Step 3: Cross multiply
    64,753.36x = 97,137 × 20,381.44
  4. Step 4: Simplify right side
    64,753.36x = 1,979,791,937.28
  5. Step 5: Solve for x
    x = 1,979,791,937.28/64,753.36
  6. Step 6: Final answer
    x = 30,574.35

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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.