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Finding the Fourth Proportional to 64,712.34, 97,068.42 and 20,342.97

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Solution

The fourth proportional to 64,712.34, 97,068.42 and 20,342.97 is: 30,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,712.34 : 97,068.42 = 20,342.97 : x
  2. Step 2: Convert to fraction form
    64,712.34/97,068.42 = 20,342.97/x
  3. Step 3: Cross multiply
    64,712.34x = 97,068.42 × 20,342.97
  4. Step 4: Simplify right side
    64,712.34x = 1,974,659,956.01
  5. Step 5: Solve for x
    x = 1,974,659,956.01/64,712.34
  6. Step 6: Final answer
    x = 30,514.43

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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.