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Finding the Fourth Proportional to 131,876.91, 181,984.86 and 77,421.69

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Solution

The fourth proportional to 131,876.91, 181,984.86 and 77,421.69 is: 106,838.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,876.91 : 181,984.86 = 77,421.69 : x
  2. Step 2: Convert to fraction form
    131,876.91/181,984.86 = 77,421.69/x
  3. Step 3: Cross multiply
    131,876.91x = 181,984.86 × 77,421.69
  4. Step 4: Simplify right side
    131,876.91x = 14,089,575,415.61
  5. Step 5: Solve for x
    x = 14,089,575,415.61/131,876.91
  6. Step 6: Final answer
    x = 106,838.83

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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.