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Finding the Fourth Proportional to 64,864, 97,308.80 and 20,497.28

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Solution

The fourth proportional to 64,864, 97,308.80 and 20,497.28 is: 30,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,864 : 97,308.80 = 20,497.28 : x
  2. Step 2: Convert to fraction form
    64,864/97,308.80 = 20,497.28/x
  3. Step 3: Cross multiply
    64,864x = 97,308.80 × 20,497.28
  4. Step 4: Simplify right side
    64,864x = 1,994,565,720.06
  5. Step 5: Solve for x
    x = 1,994,565,720.06/64,864
  6. Step 6: Final answer
    x = 30,749.96

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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.