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Finding the Fourth Proportional to 141,897.77, 195,820.24 and 78,237.83

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Solution

The fourth proportional to 141,897.77, 195,820.24 and 78,237.83 is: 107,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,897.77 : 195,820.24 = 78,237.83 : x
  2. Step 2: Convert to fraction form
    141,897.77/195,820.24 = 78,237.83/x
  3. Step 3: Cross multiply
    141,897.77x = 195,820.24 × 78,237.83
  4. Step 4: Simplify right side
    141,897.77x = 15,320,549,472.98
  5. Step 5: Solve for x
    x = 15,320,549,472.98/141,897.77
  6. Step 6: Final answer
    x = 107,968.93

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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.