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Finding the Fourth Proportional to 131,751.31, 181,809.92 and 77,295.91

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Solution

The fourth proportional to 131,751.31, 181,809.92 and 77,295.91 is: 106,664.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,751.31 : 181,809.92 = 77,295.91 : x
  2. Step 2: Convert to fraction form
    131,751.31/181,809.92 = 77,295.91/x
  3. Step 3: Cross multiply
    131,751.31x = 181,809.92 × 77,295.91
  4. Step 4: Simplify right side
    131,751.31x = 14,053,162,602.58
  5. Step 5: Solve for x
    x = 14,053,162,602.58/131,751.31
  6. Step 6: Final answer
    x = 106,664.31

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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.