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Finding the Fourth Proportional to 78,174.11, 107,880 and 42,365

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Solution

The fourth proportional to 78,174.11, 107,880 and 42,365 is: 58,463.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174.11 : 107,880 = 42,365 : x
  2. Step 2: Convert to fraction form
    78,174.11/107,880 = 42,365/x
  3. Step 3: Cross multiply
    78,174.11x = 107,880 × 42,365
  4. Step 4: Simplify right side
    78,174.11x = 4,570,336,200
  5. Step 5: Solve for x
    x = 4,570,336,200/78,174.11
  6. Step 6: Final answer
    x = 58,463.55

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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.