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Finding the Fourth Proportional to 119,158.62, 164,438.87 and 65,443.65

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Solution

The fourth proportional to 119,158.62, 164,438.87 and 65,443.65 is: 90,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,158.62 : 164,438.87 = 65,443.65 : x
  2. Step 2: Convert to fraction form
    119,158.62/164,438.87 = 65,443.65/x
  3. Step 3: Cross multiply
    119,158.62x = 164,438.87 × 65,443.65
  4. Step 4: Simplify right side
    119,158.62x = 10,761,479,527.46
  5. Step 5: Solve for x
    x = 10,761,479,527.46/119,158.62
  6. Step 6: Final answer
    x = 90,312.22

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1.5x scale

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.