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Finding the Fourth Proportional to 149,257.60, 223,497.60 and 142,259.20

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Solution

The fourth proportional to 149,257.60, 223,497.60 and 142,259.20 is: 213,018.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,257.60 : 223,497.60 = 142,259.20 : x
  2. Step 2: Convert to fraction form
    149,257.60/223,497.60 = 142,259.20/x
  3. Step 3: Cross multiply
    149,257.60x = 223,497.60 × 142,259.20
  4. Step 4: Simplify right side
    149,257.60x = 31,794,589,777.92
  5. Step 5: Solve for x
    x = 31,794,589,777.92/149,257.60
  6. Step 6: Final answer
    x = 213,018.23

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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.