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Finding the Fourth Proportional to 102,540.60, 153,695.70 and 52,601.40

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Solution

The fourth proportional to 102,540.60, 153,695.70 and 52,601.40 is: 78,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,540.60 : 153,695.70 = 52,601.40 : x
  2. Step 2: Convert to fraction form
    102,540.60/153,695.70 = 52,601.40/x
  3. Step 3: Cross multiply
    102,540.60x = 153,695.70 × 52,601.40
  4. Step 4: Simplify right side
    102,540.60x = 8,084,608,993.98
  5. Step 5: Solve for x
    x = 8,084,608,993.98/102,540.60
  6. Step 6: Final answer
    x = 78,843.00

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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.