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Finding the Fourth Proportional to 141,897.78, 195,827.76 and 78,235.47

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Solution

The fourth proportional to 141,897.78, 195,827.76 and 78,235.47 is: 107,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,897.78 : 195,827.76 = 78,235.47 : x
  2. Step 2: Convert to fraction form
    141,897.78/195,827.76 = 78,235.47/x
  3. Step 3: Cross multiply
    141,897.78x = 195,827.76 × 78,235.47
  4. Step 4: Simplify right side
    141,897.78x = 15,320,676,842.65
  5. Step 5: Solve for x
    x = 15,320,676,842.65/141,897.78
  6. Step 6: Final answer
    x = 107,969.81

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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.