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Finding the Fourth Proportional to 103,421.20, 155,131.86 and 29,549.20

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Solution

The fourth proportional to 103,421.20, 155,131.86 and 29,549.20 is: 44,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421.20 : 155,131.86 = 29,549.20 : x
  2. Step 2: Convert to fraction form
    103,421.20/155,131.86 = 29,549.20/x
  3. Step 3: Cross multiply
    103,421.20x = 155,131.86 × 29,549.20
  4. Step 4: Simplify right side
    103,421.20x = 4,584,022,357.51
  5. Step 5: Solve for x
    x = 4,584,022,357.51/103,421.20
  6. Step 6: Final answer
    x = 44,323.82

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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.