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Finding the Fourth Proportional to 149,125, 223,618.40 and 55,605.64

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Solution

The fourth proportional to 149,125, 223,618.40 and 55,605.64 is: 83,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,125 : 223,618.40 = 55,605.64 : x
  2. Step 2: Convert to fraction form
    149,125/223,618.40 = 55,605.64/x
  3. Step 3: Cross multiply
    149,125x = 223,618.40 × 55,605.64
  4. Step 4: Simplify right side
    149,125x = 12,434,444,247.78
  5. Step 5: Solve for x
    x = 12,434,444,247.78/149,125
  6. Step 6: Final answer
    x = 83,382.69

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1.5x scale

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.