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Finding the Fourth Proportional to 308,106.93, 425,184.68 and 172,164.30

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Solution

The fourth proportional to 308,106.93, 425,184.68 and 172,164.30 is: 237,585.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,106.93 : 425,184.68 = 172,164.30 : x
  2. Step 2: Convert to fraction form
    308,106.93/425,184.68 = 172,164.30/x
  3. Step 3: Cross multiply
    308,106.93x = 425,184.68 × 172,164.30
  4. Step 4: Simplify right side
    308,106.93x = 73,201,621,942.10
  5. Step 5: Solve for x
    x = 73,201,621,942.10/308,106.93
  6. Step 6: Final answer
    x = 237,585.12

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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.