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Finding the Fourth Proportional to 378,109.62, 566,967.60 and 111,834.20

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Solution

The fourth proportional to 378,109.62, 566,967.60 and 111,834.20 is: 167,693.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,109.62 : 566,967.60 = 111,834.20 : x
  2. Step 2: Convert to fraction form
    378,109.62/566,967.60 = 111,834.20/x
  3. Step 3: Cross multiply
    378,109.62x = 566,967.60 × 111,834.20
  4. Step 4: Simplify right side
    378,109.62x = 63,406,369,389.34
  5. Step 5: Solve for x
    x = 63,406,369,389.34/378,109.62
  6. Step 6: Final answer
    x = 167,693.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.