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Finding the Fourth Proportional to 78,156.75, 107,854.90 and 44,164.50

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Solution

The fourth proportional to 78,156.75, 107,854.90 and 44,164.50 is: 60,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.75 : 107,854.90 = 44,164.50 : x
  2. Step 2: Convert to fraction form
    78,156.75/107,854.90 = 44,164.50/x
  3. Step 3: Cross multiply
    78,156.75x = 107,854.90 × 44,164.50
  4. Step 4: Simplify right side
    78,156.75x = 4,763,357,731.05
  5. Step 5: Solve for x
    x = 4,763,357,731.05/78,156.75
  6. Step 6: Final answer
    x = 60,946.21

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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.