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Finding the Fourth Proportional to 172,613.14, 238,103.49 and 105,428.50

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Solution

The fourth proportional to 172,613.14, 238,103.49 and 105,428.50 is: 145,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,613.14 : 238,103.49 = 105,428.50 : x
  2. Step 2: Convert to fraction form
    172,613.14/238,103.49 = 105,428.50/x
  3. Step 3: Cross multiply
    172,613.14x = 238,103.49 × 105,428.50
  4. Step 4: Simplify right side
    172,613.14x = 25,102,893,795.47
  5. Step 5: Solve for x
    x = 25,102,893,795.47/172,613.14
  6. Step 6: Final answer
    x = 145,428.64

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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.