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Finding the Fourth Proportional to 100,322.62, 138,462.80 and 76,203.41

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Solution

The fourth proportional to 100,322.62, 138,462.80 and 76,203.41 is: 105,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,322.62 : 138,462.80 = 76,203.41 : x
  2. Step 2: Convert to fraction form
    100,322.62/138,462.80 = 76,203.41/x
  3. Step 3: Cross multiply
    100,322.62x = 138,462.80 × 76,203.41
  4. Step 4: Simplify right side
    100,322.62x = 10,551,336,444.82
  5. Step 5: Solve for x
    x = 10,551,336,444.82/100,322.62
  6. Step 6: Final answer
    x = 105,174.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.