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Finding the Fourth Proportional to 78,379.84, 108,165.78 and 47,742.40

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Solution

The fourth proportional to 78,379.84, 108,165.78 and 47,742.40 is: 65,885.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,379.84 : 108,165.78 = 47,742.40 : x
  2. Step 2: Convert to fraction form
    78,379.84/108,165.78 = 47,742.40/x
  3. Step 3: Cross multiply
    78,379.84x = 108,165.78 × 47,742.40
  4. Step 4: Simplify right side
    78,379.84x = 5,164,093,935.07
  5. Step 5: Solve for x
    x = 5,164,093,935.07/78,379.84
  6. Step 6: Final answer
    x = 65,885.49

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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.