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Finding the Fourth Proportional to 136,947.60, 205,437.40 and 43,462.80

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Solution

The fourth proportional to 136,947.60, 205,437.40 and 43,462.80 is: 65,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,947.60 : 205,437.40 = 43,462.80 : x
  2. Step 2: Convert to fraction form
    136,947.60/205,437.40 = 43,462.80/x
  3. Step 3: Cross multiply
    136,947.60x = 205,437.40 × 43,462.80
  4. Step 4: Simplify right side
    136,947.60x = 8,928,884,628.72
  5. Step 5: Solve for x
    x = 8,928,884,628.72/136,947.60
  6. Step 6: Final answer
    x = 65,199.28

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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.