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Finding the Fourth Proportional to 119,419.65, 164,801.67 and 65,704.82

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Solution

The fourth proportional to 119,419.65, 164,801.67 and 65,704.82 is: 90,674.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,419.65 : 164,801.67 = 65,704.82 : x
  2. Step 2: Convert to fraction form
    119,419.65/164,801.67 = 65,704.82/x
  3. Step 3: Cross multiply
    119,419.65x = 164,801.67 × 65,704.82
  4. Step 4: Simplify right side
    119,419.65x = 10,828,264,063.05
  5. Step 5: Solve for x
    x = 10,828,264,063.05/119,419.65
  6. Step 6: Final answer
    x = 90,674.06

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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.