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Finding the Fourth Proportional to 100,886.55, 151,329.42 and 30,765.66

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Solution

The fourth proportional to 100,886.55, 151,329.42 and 30,765.66 is: 46,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,886.55 : 151,329.42 = 30,765.66 : x
  2. Step 2: Convert to fraction form
    100,886.55/151,329.42 = 30,765.66/x
  3. Step 3: Cross multiply
    100,886.55x = 151,329.42 × 30,765.66
  4. Step 4: Simplify right side
    100,886.55x = 4,655,749,483.72
  5. Step 5: Solve for x
    x = 4,655,749,483.72/100,886.55
  6. Step 6: Final answer
    x = 46,148.37

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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.