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Finding the Fourth Proportional to 64,716.52, 97,074.78 and 20,347.16

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Solution

The fourth proportional to 64,716.52, 97,074.78 and 20,347.16 is: 30,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716.52 : 97,074.78 = 20,347.16 : x
  2. Step 2: Convert to fraction form
    64,716.52/97,074.78 = 20,347.16/x
  3. Step 3: Cross multiply
    64,716.52x = 97,074.78 × 20,347.16
  4. Step 4: Simplify right side
    64,716.52x = 1,975,196,080.62
  5. Step 5: Solve for x
    x = 1,975,196,080.62/64,716.52
  6. Step 6: Final answer
    x = 30,520.74

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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.