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Finding the Fourth Proportional to 101,349.21, 152,048.59 and 71,421.83

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Solution

The fourth proportional to 101,349.21, 152,048.59 and 71,421.83 is: 107,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,349.21 : 152,048.59 = 71,421.83 : x
  2. Step 2: Convert to fraction form
    101,349.21/152,048.59 = 71,421.83/x
  3. Step 3: Cross multiply
    101,349.21x = 152,048.59 × 71,421.83
  4. Step 4: Simplify right side
    101,349.21x = 10,859,587,786.48
  5. Step 5: Solve for x
    x = 10,859,587,786.48/101,349.21
  6. Step 6: Final answer
    x = 107,150.20

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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.