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Finding the Fourth Proportional to 170,784.80, 256,177.20 and 120,921.20

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Solution

The fourth proportional to 170,784.80, 256,177.20 and 120,921.20 is: 181,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,784.80 : 256,177.20 = 120,921.20 : x
  2. Step 2: Convert to fraction form
    170,784.80/256,177.20 = 120,921.20/x
  3. Step 3: Cross multiply
    170,784.80x = 256,177.20 × 120,921.20
  4. Step 4: Simplify right side
    170,784.80x = 30,977,254,436.64
  5. Step 5: Solve for x
    x = 30,977,254,436.64/170,784.80
  6. Step 6: Final answer
    x = 181,381.80

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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.