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Finding the Fourth Proportional to 64,931.86, 97,406.01 and 20,542.57

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Solution

The fourth proportional to 64,931.86, 97,406.01 and 20,542.57 is: 30,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931.86 : 97,406.01 = 20,542.57 : x
  2. Step 2: Convert to fraction form
    64,931.86/97,406.01 = 20,542.57/x
  3. Step 3: Cross multiply
    64,931.86x = 97,406.01 × 20,542.57
  4. Step 4: Simplify right side
    64,931.86x = 2,000,969,778.85
  5. Step 5: Solve for x
    x = 2,000,969,778.85/64,931.86
  6. Step 6: Final answer
    x = 30,816.46

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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.