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Finding the Fourth Proportional to 100,643.76, 151,008.75 and 34,090.92

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Solution

The fourth proportional to 100,643.76, 151,008.75 and 34,090.92 is: 51,150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643.76 : 151,008.75 = 34,090.92 : x
  2. Step 2: Convert to fraction form
    100,643.76/151,008.75 = 34,090.92/x
  3. Step 3: Cross multiply
    100,643.76x = 151,008.75 × 34,090.92
  4. Step 4: Simplify right side
    100,643.76x = 5,148,027,215.55
  5. Step 5: Solve for x
    x = 5,148,027,215.55/100,643.76
  6. Step 6: Final answer
    x = 51,150.98

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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.