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Finding the Fourth Proportional to 100,864.53, 151,319.25 and 30,749.31

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Solution

The fourth proportional to 100,864.53, 151,319.25 and 30,749.31 is: 46,130.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,864.53 : 151,319.25 = 30,749.31 : x
  2. Step 2: Convert to fraction form
    100,864.53/151,319.25 = 30,749.31/x
  3. Step 3: Cross multiply
    100,864.53x = 151,319.25 × 30,749.31
  4. Step 4: Simplify right side
    100,864.53x = 4,652,962,527.22
  5. Step 5: Solve for x
    x = 4,652,962,527.22/100,864.53
  6. Step 6: Final answer
    x = 46,130.81

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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.