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Finding the Fourth Proportional to 101,242.85, 151,837.61 and 30,146.31

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Solution

The fourth proportional to 101,242.85, 151,837.61 and 30,146.31 is: 45,211.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,242.85 : 151,837.61 = 30,146.31 : x
  2. Step 2: Convert to fraction form
    101,242.85/151,837.61 = 30,146.31/x
  3. Step 3: Cross multiply
    101,242.85x = 151,837.61 × 30,146.31
  4. Step 4: Simplify right side
    101,242.85x = 4,577,343,509.99
  5. Step 5: Solve for x
    x = 4,577,343,509.99/101,242.85
  6. Step 6: Final answer
    x = 45,211.53

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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.