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Finding the Fourth Proportional to 74,531.20, 111,710.40 and 30,128.80

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Solution

The fourth proportional to 74,531.20, 111,710.40 and 30,128.80 is: 45,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,531.20 : 111,710.40 = 30,128.80 : x
  2. Step 2: Convert to fraction form
    74,531.20/111,710.40 = 30,128.80/x
  3. Step 3: Cross multiply
    74,531.20x = 111,710.40 × 30,128.80
  4. Step 4: Simplify right side
    74,531.20x = 3,365,700,299.52
  5. Step 5: Solve for x
    x = 3,365,700,299.52/74,531.20
  6. Step 6: Final answer
    x = 45,158.27

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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.