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Finding the Fourth Proportional to 134,840.68, 202,198.48 and 78,697

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Solution

The fourth proportional to 134,840.68, 202,198.48 and 78,697 is: 118,009.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,840.68 : 202,198.48 = 78,697 : x
  2. Step 2: Convert to fraction form
    134,840.68/202,198.48 = 78,697/x
  3. Step 3: Cross multiply
    134,840.68x = 202,198.48 × 78,697
  4. Step 4: Simplify right side
    134,840.68x = 15,912,413,780.56
  5. Step 5: Solve for x
    x = 15,912,413,780.56/134,840.68
  6. Step 6: Final answer
    x = 118,009.00

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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.