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Finding the Fourth Proportional to 78,178.80, 107,880.12 and 45,909.96

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Solution

The fourth proportional to 78,178.80, 107,880.12 and 45,909.96 is: 63,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,178.80 : 107,880.12 = 45,909.96 : x
  2. Step 2: Convert to fraction form
    78,178.80/107,880.12 = 45,909.96/x
  3. Step 3: Cross multiply
    78,178.80x = 107,880.12 × 45,909.96
  4. Step 4: Simplify right side
    78,178.80x = 4,952,771,994.00
  5. Step 5: Solve for x
    x = 4,952,771,994.00/78,178.80
  6. Step 6: Final answer
    x = 63,351.85

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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.