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Finding the Fourth Proportional to 251,678.74, 347,238.46 and 142,765.14

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Solution

The fourth proportional to 251,678.74, 347,238.46 and 142,765.14 is: 196,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,678.74 : 347,238.46 = 142,765.14 : x
  2. Step 2: Convert to fraction form
    251,678.74/347,238.46 = 142,765.14/x
  3. Step 3: Cross multiply
    251,678.74x = 347,238.46 × 142,765.14
  4. Step 4: Simplify right side
    251,678.74x = 49,573,547,355.28
  5. Step 5: Solve for x
    x = 49,573,547,355.28/251,678.74
  6. Step 6: Final answer
    x = 196,971.53

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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.