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Finding the Fourth Proportional to 255,910, 353,155.80 and 142,732.84

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Solution

The fourth proportional to 255,910, 353,155.80 and 142,732.84 is: 196,971.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,910 : 353,155.80 = 142,732.84 : x
  2. Step 2: Convert to fraction form
    255,910/353,155.80 = 142,732.84/x
  3. Step 3: Cross multiply
    255,910x = 353,155.80 × 142,732.84
  4. Step 4: Simplify right side
    255,910x = 50,406,930,296.47
  5. Step 5: Solve for x
    x = 50,406,930,296.47/255,910
  6. Step 6: Final answer
    x = 196,971.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.