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Finding the Fourth Proportional to 78,378.84, 108,164.40 and 47,741.40

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Solution

The fourth proportional to 78,378.84, 108,164.40 and 47,741.40 is: 65,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,378.84 : 108,164.40 = 47,741.40 : x
  2. Step 2: Convert to fraction form
    78,378.84/108,164.40 = 47,741.40/x
  3. Step 3: Cross multiply
    78,378.84x = 108,164.40 × 47,741.40
  4. Step 4: Simplify right side
    78,378.84x = 5,163,919,106.63
  5. Step 5: Solve for x
    x = 5,163,919,106.63/78,378.84
  6. Step 6: Final answer
    x = 65,884.10

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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.