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Finding the Fourth Proportional to 106,490.70, 160,064.10 and 100,585.80

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Solution

The fourth proportional to 106,490.70, 160,064.10 and 100,585.80 is: 151,188.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,490.70 : 160,064.10 = 100,585.80 : x
  2. Step 2: Convert to fraction form
    106,490.70/160,064.10 = 100,585.80/x
  3. Step 3: Cross multiply
    106,490.70x = 160,064.10 × 100,585.80
  4. Step 4: Simplify right side
    106,490.70x = 16,100,175,549.78
  5. Step 5: Solve for x
    x = 16,100,175,549.78/106,490.70
  6. Step 6: Final answer
    x = 151,188.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.