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Finding the Fourth Proportional to 64,720.63, 97,085.11 and 20,349.10

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Solution

The fourth proportional to 64,720.63, 97,085.11 and 20,349.10 is: 30,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,720.63 : 97,085.11 = 20,349.10 : x
  2. Step 2: Convert to fraction form
    64,720.63/97,085.11 = 20,349.10/x
  3. Step 3: Cross multiply
    64,720.63x = 97,085.11 × 20,349.10
  4. Step 4: Simplify right side
    64,720.63x = 1,975,594,611.90
  5. Step 5: Solve for x
    x = 1,975,594,611.90/64,720.63
  6. Step 6: Final answer
    x = 30,524.96

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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.