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Finding the Fourth Proportional to 119,045.75, 164,282.63 and 65,331.68

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Solution

The fourth proportional to 119,045.75, 164,282.63 and 65,331.68 is: 90,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,045.75 : 164,282.63 = 65,331.68 : x
  2. Step 2: Convert to fraction form
    119,045.75/164,282.63 = 65,331.68/x
  3. Step 3: Cross multiply
    119,045.75x = 164,282.63 × 65,331.68
  4. Step 4: Simplify right side
    119,045.75x = 10,732,859,064.65
  5. Step 5: Solve for x
    x = 10,732,859,064.65/119,045.75
  6. Step 6: Final answer
    x = 90,157.44

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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.