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Finding the Fourth Proportional to 205,666.56, 283,774.08 and 125,136

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Solution

The fourth proportional to 205,666.56, 283,774.08 and 125,136 is: 172,659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,666.56 : 283,774.08 = 125,136 : x
  2. Step 2: Convert to fraction form
    205,666.56/283,774.08 = 125,136/x
  3. Step 3: Cross multiply
    205,666.56x = 283,774.08 × 125,136
  4. Step 4: Simplify right side
    205,666.56x = 35,510,353,274.88
  5. Step 5: Solve for x
    x = 35,510,353,274.88/205,666.56
  6. Step 6: Final answer
    x = 172,659.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.