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Finding the Fourth Proportional to 78,156.53, 107,855.30 and 44,164.40

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Solution

The fourth proportional to 78,156.53, 107,855.30 and 44,164.40 is: 60,946.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,156.53 : 107,855.30 = 44,164.40 : x
  2. Step 2: Convert to fraction form
    78,156.53/107,855.30 = 44,164.40/x
  3. Step 3: Cross multiply
    78,156.53x = 107,855.30 × 44,164.40
  4. Step 4: Simplify right side
    78,156.53x = 4,763,364,390.50
  5. Step 5: Solve for x
    x = 4,763,364,390.50/78,156.53
  6. Step 6: Final answer
    x = 60,946.47

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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.