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Finding the Fourth Proportional to 131,898.78, 197,767.98 and 51,840.81

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Solution

The fourth proportional to 131,898.78, 197,767.98 and 51,840.81 is: 77,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,898.78 : 197,767.98 = 51,840.81 : x
  2. Step 2: Convert to fraction form
    131,898.78/197,767.98 = 51,840.81/x
  3. Step 3: Cross multiply
    131,898.78x = 197,767.98 × 51,840.81
  4. Step 4: Simplify right side
    131,898.78x = 10,252,452,275.26
  5. Step 5: Solve for x
    x = 10,252,452,275.26/131,898.78
  6. Step 6: Final answer
    x = 77,729.70

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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.