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Finding the Fourth Proportional to 243,843.76, 365,649 and 103,525.84

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Solution

The fourth proportional to 243,843.76, 365,649 and 103,525.84 is: 155,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,843.76 : 365,649 = 103,525.84 : x
  2. Step 2: Convert to fraction form
    243,843.76/365,649 = 103,525.84/x
  3. Step 3: Cross multiply
    243,843.76x = 365,649 × 103,525.84
  4. Step 4: Simplify right side
    243,843.76x = 37,854,119,870.16
  5. Step 5: Solve for x
    x = 37,854,119,870.16/243,843.76
  6. Step 6: Final answer
    x = 155,239.24

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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.