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Finding the Fourth Proportional to 141,855.74, 195,762.28 and 78,195.82

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Solution

The fourth proportional to 141,855.74, 195,762.28 and 78,195.82 is: 107,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,855.74 : 195,762.28 = 78,195.82 : x
  2. Step 2: Convert to fraction form
    141,855.74/195,762.28 = 78,195.82/x
  3. Step 3: Cross multiply
    141,855.74x = 195,762.28 × 78,195.82
  4. Step 4: Simplify right side
    141,855.74x = 15,307,792,009.67
  5. Step 5: Solve for x
    x = 15,307,792,009.67/141,855.74
  6. Step 6: Final answer
    x = 107,910.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.