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Finding the Fourth Proportional to 254,681.72, 382,098.96 and 102,800.64

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Solution

The fourth proportional to 254,681.72, 382,098.96 and 102,800.64 is: 154,231.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,681.72 : 382,098.96 = 102,800.64 : x
  2. Step 2: Convert to fraction form
    254,681.72/382,098.96 = 102,800.64/x
  3. Step 3: Cross multiply
    254,681.72x = 382,098.96 × 102,800.64
  4. Step 4: Simplify right side
    254,681.72x = 39,280,017,631.33
  5. Step 5: Solve for x
    x = 39,280,017,631.33/254,681.72
  6. Step 6: Final answer
    x = 154,231.79

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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.