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Finding the Fourth Proportional to 170,957.20, 256,646.40 and 107,777.20

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Solution

The fourth proportional to 170,957.20, 256,646.40 and 107,777.20 is: 161,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,957.20 : 256,646.40 = 107,777.20 : x
  2. Step 2: Convert to fraction form
    170,957.20/256,646.40 = 107,777.20/x
  3. Step 3: Cross multiply
    170,957.20x = 256,646.40 × 107,777.20
  4. Step 4: Simplify right side
    170,957.20x = 27,660,630,382.08
  5. Step 5: Solve for x
    x = 27,660,630,382.08/170,957.20
  6. Step 6: Final answer
    x = 161,798.57

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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.