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Finding the Fourth Proportional to 64,965.80, 97,460.85 and 20,580.64

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Solution

The fourth proportional to 64,965.80, 97,460.85 and 20,580.64 is: 30,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,965.80 : 97,460.85 = 20,580.64 : x
  2. Step 2: Convert to fraction form
    64,965.80/97,460.85 = 20,580.64/x
  3. Step 3: Cross multiply
    64,965.80x = 97,460.85 × 20,580.64
  4. Step 4: Simplify right side
    64,965.80x = 2,005,806,501.47
  5. Step 5: Solve for x
    x = 2,005,806,501.47/64,965.80
  6. Step 6: Final answer
    x = 30,874.81

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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.