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Finding the Fourth Proportional to 119,451.66, 164,843.31 and 65,740.50

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Solution

The fourth proportional to 119,451.66, 164,843.31 and 65,740.50 is: 90,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,451.66 : 164,843.31 = 65,740.50 : x
  2. Step 2: Convert to fraction form
    119,451.66/164,843.31 = 65,740.50/x
  3. Step 3: Cross multiply
    119,451.66x = 164,843.31 × 65,740.50
  4. Step 4: Simplify right side
    119,451.66x = 10,836,881,621.06
  5. Step 5: Solve for x
    x = 10,836,881,621.06/119,451.66
  6. Step 6: Final answer
    x = 90,721.90

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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.