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Finding the Fourth Proportional to 78,135.80, 107,827.92 and 42,325.81

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Solution

The fourth proportional to 78,135.80, 107,827.92 and 42,325.81 is: 58,409.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,135.80 : 107,827.92 = 42,325.81 : x
  2. Step 2: Convert to fraction form
    78,135.80/107,827.92 = 42,325.81/x
  3. Step 3: Cross multiply
    78,135.80x = 107,827.92 × 42,325.81
  4. Step 4: Simplify right side
    78,135.80x = 4,563,904,054.62
  5. Step 5: Solve for x
    x = 4,563,904,054.62/78,135.80
  6. Step 6: Final answer
    x = 58,409.90

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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.