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Finding the Fourth Proportional to 268,071.80, 370,022.13 and 172,578.50

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Solution

The fourth proportional to 268,071.80, 370,022.13 and 172,578.50 is: 238,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,071.80 : 370,022.13 = 172,578.50 : x
  2. Step 2: Convert to fraction form
    268,071.80/370,022.13 = 172,578.50/x
  3. Step 3: Cross multiply
    268,071.80x = 370,022.13 × 172,578.50
  4. Step 4: Simplify right side
    268,071.80x = 63,857,864,162.21
  5. Step 5: Solve for x
    x = 63,857,864,162.21/268,071.80
  6. Step 6: Final answer
    x = 238,211.79

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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.