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Finding the Fourth Proportional to 43,031, 64,546 and 30,328.58

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Solution

The fourth proportional to 43,031, 64,546 and 30,328.58 is: 45,492.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,031 : 64,546 = 30,328.58 : x
  2. Step 2: Convert to fraction form
    43,031/64,546 = 30,328.58/x
  3. Step 3: Cross multiply
    43,031x = 64,546 × 30,328.58
  4. Step 4: Simplify right side
    43,031x = 1,957,588,524.68
  5. Step 5: Solve for x
    x = 1,957,588,524.68/43,031
  6. Step 6: Final answer
    x = 45,492.52

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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.