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Finding the Fourth Proportional to 78,175.71, 107,882.58 and 42,365.43

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Solution

The fourth proportional to 78,175.71, 107,882.58 and 42,365.43 is: 58,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,175.71 : 107,882.58 = 42,365.43 : x
  2. Step 2: Convert to fraction form
    78,175.71/107,882.58 = 42,365.43/x
  3. Step 3: Cross multiply
    78,175.71x = 107,882.58 × 42,365.43
  4. Step 4: Simplify right side
    78,175.71x = 4,570,491,891.21
  5. Step 5: Solve for x
    x = 4,570,491,891.21/78,175.71
  6. Step 6: Final answer
    x = 58,464.35

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1.5x scale

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.