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Finding the Fourth Proportional to 78,410.40, 117,615.60 and 47,229.60

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Solution

The fourth proportional to 78,410.40, 117,615.60 and 47,229.60 is: 70,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.40 : 117,615.60 = 47,229.60 : x
  2. Step 2: Convert to fraction form
    78,410.40/117,615.60 = 47,229.60/x
  3. Step 3: Cross multiply
    78,410.40x = 117,615.60 × 47,229.60
  4. Step 4: Simplify right side
    78,410.40x = 5,554,937,741.76
  5. Step 5: Solve for x
    x = 5,554,937,741.76/78,410.40
  6. Step 6: Final answer
    x = 70,844.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.