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Finding the Fourth Proportional to 78,135.96, 107,827.74 and 42,326.28

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Solution

The fourth proportional to 78,135.96, 107,827.74 and 42,326.28 is: 58,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,135.96 : 107,827.74 = 42,326.28 : x
  2. Step 2: Convert to fraction form
    78,135.96/107,827.74 = 42,326.28/x
  3. Step 3: Cross multiply
    78,135.96x = 107,827.74 × 42,326.28
  4. Step 4: Simplify right side
    78,135.96x = 4,563,947,115.01
  5. Step 5: Solve for x
    x = 4,563,947,115.01/78,135.96
  6. Step 6: Final answer
    x = 58,410.33

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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.