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Finding the Fourth Proportional to 131,648.64, 197,348.40 and 81,078.72

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Solution

The fourth proportional to 131,648.64, 197,348.40 and 81,078.72 is: 121,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,648.64 : 197,348.40 = 81,078.72 : x
  2. Step 2: Convert to fraction form
    131,648.64/197,348.40 = 81,078.72/x
  3. Step 3: Cross multiply
    131,648.64x = 197,348.40 × 81,078.72
  4. Step 4: Simplify right side
    131,648.64x = 16,000,755,666.05
  5. Step 5: Solve for x
    x = 16,000,755,666.05/131,648.64
  6. Step 6: Final answer
    x = 121,541.37

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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.