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Finding the Fourth Proportional to 126,117.91, 174,051.37 and 77,080.59

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Solution

The fourth proportional to 126,117.91, 174,051.37 and 77,080.59 is: 106,376.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,117.91 : 174,051.37 = 77,080.59 : x
  2. Step 2: Convert to fraction form
    126,117.91/174,051.37 = 77,080.59/x
  3. Step 3: Cross multiply
    126,117.91x = 174,051.37 × 77,080.59
  4. Step 4: Simplify right side
    126,117.91x = 13,415,981,788.35
  5. Step 5: Solve for x
    x = 13,415,981,788.35/126,117.91
  6. Step 6: Final answer
    x = 106,376.50

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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.