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Finding the Fourth Proportional to 262,152.75, 392,383.28 and 135,618.74

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Solution

The fourth proportional to 262,152.75, 392,383.28 and 135,618.74 is: 202,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,152.75 : 392,383.28 = 135,618.74 : x
  2. Step 2: Convert to fraction form
    262,152.75/392,383.28 = 135,618.74/x
  3. Step 3: Cross multiply
    262,152.75x = 392,383.28 × 135,618.74
  4. Step 4: Simplify right side
    262,152.75x = 53,214,523,390.66
  5. Step 5: Solve for x
    x = 53,214,523,390.66/262,152.75
  6. Step 6: Final answer
    x = 202,990.52

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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.