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Finding the Fourth Proportional to 131,866.35, 181,978.95 and 78,142.68

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Solution

The fourth proportional to 131,866.35, 181,978.95 and 78,142.68 is: 107,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,866.35 : 181,978.95 = 78,142.68 : x
  2. Step 2: Convert to fraction form
    131,866.35/181,978.95 = 78,142.68/x
  3. Step 3: Cross multiply
    131,866.35x = 181,978.95 × 78,142.68
  4. Step 4: Simplify right side
    131,866.35x = 14,220,322,856.59
  5. Step 5: Solve for x
    x = 14,220,322,856.59/131,866.35
  6. Step 6: Final answer
    x = 107,838.91

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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.