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Finding the Fourth Proportional to 207,508.80, 286,389.96 and 121,494

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Solution

The fourth proportional to 207,508.80, 286,389.96 and 121,494 is: 167,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,508.80 : 286,389.96 = 121,494 : x
  2. Step 2: Convert to fraction form
    207,508.80/286,389.96 = 121,494/x
  3. Step 3: Cross multiply
    207,508.80x = 286,389.96 × 121,494
  4. Step 4: Simplify right side
    207,508.80x = 34,794,661,800.24
  5. Step 5: Solve for x
    x = 34,794,661,800.24/207,508.80
  6. Step 6: Final answer
    x = 167,678.01

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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.