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Finding the Fourth Proportional to 64,811.81, 97,217.72 and 15,563.81

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Solution

The fourth proportional to 64,811.81, 97,217.72 and 15,563.81 is: 23,345.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,811.81 : 97,217.72 = 15,563.81 : x
  2. Step 2: Convert to fraction form
    64,811.81/97,217.72 = 15,563.81/x
  3. Step 3: Cross multiply
    64,811.81x = 97,217.72 × 15,563.81
  4. Step 4: Simplify right side
    64,811.81x = 1,513,078,346.30
  5. Step 5: Solve for x
    x = 1,513,078,346.30/64,811.81
  6. Step 6: Final answer
    x = 23,345.72

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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.