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Finding the Fourth Proportional to 243,854, 365,460.24 and 103,438.88

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Solution

The fourth proportional to 243,854, 365,460.24 and 103,438.88 is: 155,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,854 : 365,460.24 = 103,438.88 : x
  2. Step 2: Convert to fraction form
    243,854/365,460.24 = 103,438.88/x
  3. Step 3: Cross multiply
    243,854x = 365,460.24 × 103,438.88
  4. Step 4: Simplify right side
    243,854x = 37,802,797,910.13
  5. Step 5: Solve for x
    x = 37,802,797,910.13/243,854
  6. Step 6: Final answer
    x = 155,022.26

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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.