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Finding the Fourth Proportional to 149,552.96, 206,656.80 and 142,263.68

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Solution

The fourth proportional to 149,552.96, 206,656.80 and 142,263.68 is: 196,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,552.96 : 206,656.80 = 142,263.68 : x
  2. Step 2: Convert to fraction form
    149,552.96/206,656.80 = 142,263.68/x
  3. Step 3: Cross multiply
    149,552.96x = 206,656.80 × 142,263.68
  4. Step 4: Simplify right side
    149,552.96x = 29,399,756,865.02
  5. Step 5: Solve for x
    x = 29,399,756,865.02/149,552.96
  6. Step 6: Final answer
    x = 196,584.25

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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.