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Finding the Fourth Proportional to 30,177.32, 45,200.46 and 18,455

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Solution

The fourth proportional to 30,177.32, 45,200.46 and 18,455 is: 27,642.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,177.32 : 45,200.46 = 18,455 : x
  2. Step 2: Convert to fraction form
    30,177.32/45,200.46 = 18,455/x
  3. Step 3: Cross multiply
    30,177.32x = 45,200.46 × 18,455
  4. Step 4: Simplify right side
    30,177.32x = 834,174,489.30
  5. Step 5: Solve for x
    x = 834,174,489.30/30,177.32
  6. Step 6: Final answer
    x = 27,642.43

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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.