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Finding the Fourth Proportional to 270,240.64, 405,142.25 and 112,587.10

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Solution

The fourth proportional to 270,240.64, 405,142.25 and 112,587.10 is: 168,789.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,240.64 : 405,142.25 = 112,587.10 : x
  2. Step 2: Convert to fraction form
    270,240.64/405,142.25 = 112,587.10/x
  3. Step 3: Cross multiply
    270,240.64x = 405,142.25 × 112,587.10
  4. Step 4: Simplify right side
    270,240.64x = 45,613,788,989.26
  5. Step 5: Solve for x
    x = 45,613,788,989.26/270,240.64
  6. Step 6: Final answer
    x = 168,789.53

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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.