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Finding the Fourth Proportional to 52,003.20, 78,004.80 and 16,946.40

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Solution

The fourth proportional to 52,003.20, 78,004.80 and 16,946.40 is: 25,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,003.20 : 78,004.80 = 16,946.40 : x
  2. Step 2: Convert to fraction form
    52,003.20/78,004.80 = 16,946.40/x
  3. Step 3: Cross multiply
    52,003.20x = 78,004.80 × 16,946.40
  4. Step 4: Simplify right side
    52,003.20x = 1,321,900,542.72
  5. Step 5: Solve for x
    x = 1,321,900,542.72/52,003.20
  6. Step 6: Final answer
    x = 25,419.60

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1.5x scale

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.