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Finding the Fourth Proportional to 100,655.75, 151,032.83 and 71,262.47

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Solution

The fourth proportional to 100,655.75, 151,032.83 and 71,262.47 is: 106,928.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,655.75 : 151,032.83 = 71,262.47 : x
  2. Step 2: Convert to fraction form
    100,655.75/151,032.83 = 71,262.47/x
  3. Step 3: Cross multiply
    100,655.75x = 151,032.83 × 71,262.47
  4. Step 4: Simplify right side
    100,655.75x = 10,762,971,405.41
  5. Step 5: Solve for x
    x = 10,762,971,405.41/100,655.75
  6. Step 6: Final answer
    x = 106,928.54

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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.