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Finding the Fourth Proportional to 64,887.86, 97,295.34 and 20,525.78

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Solution

The fourth proportional to 64,887.86, 97,295.34 and 20,525.78 is: 30,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,887.86 : 97,295.34 = 20,525.78 : x
  2. Step 2: Convert to fraction form
    64,887.86/97,295.34 = 20,525.78/x
  3. Step 3: Cross multiply
    64,887.86x = 97,295.34 × 20,525.78
  4. Step 4: Simplify right side
    64,887.86x = 1,997,062,743.87
  5. Step 5: Solve for x
    x = 1,997,062,743.87/64,887.86
  6. Step 6: Final answer
    x = 30,777.14

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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.