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Finding the Fourth Proportional to 101,442, 152,133.25 and 38,216.50

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Solution

The fourth proportional to 101,442, 152,133.25 and 38,216.50 is: 57,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442 : 152,133.25 = 38,216.50 : x
  2. Step 2: Convert to fraction form
    101,442/152,133.25 = 38,216.50/x
  3. Step 3: Cross multiply
    101,442x = 152,133.25 × 38,216.50
  4. Step 4: Simplify right side
    101,442x = 5,814,000,348.63
  5. Step 5: Solve for x
    x = 5,814,000,348.63/101,442
  6. Step 6: Final answer
    x = 57,313.54

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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.