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Finding the Fourth Proportional to 64,034, 96,066.36 and 20,258

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Solution

The fourth proportional to 64,034, 96,066.36 and 20,258 is: 30,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,034 : 96,066.36 = 20,258 : x
  2. Step 2: Convert to fraction form
    64,034/96,066.36 = 20,258/x
  3. Step 3: Cross multiply
    64,034x = 96,066.36 × 20,258
  4. Step 4: Simplify right side
    64,034x = 1,946,112,320.88
  5. Step 5: Solve for x
    x = 1,946,112,320.88/64,034
  6. Step 6: Final answer
    x = 30,391.86

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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.