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Finding the Fourth Proportional to 251,678.61, 347,238.29 and 142,765.00

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Solution

The fourth proportional to 251,678.61, 347,238.29 and 142,765.00 is: 196,971.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,678.61 : 347,238.29 = 142,765.00 : x
  2. Step 2: Convert to fraction form
    251,678.61/347,238.29 = 142,765.00/x
  3. Step 3: Cross multiply
    251,678.61x = 347,238.29 × 142,765.00
  4. Step 4: Simplify right side
    251,678.61x = 49,573,473,960.67
  5. Step 5: Solve for x
    x = 49,573,473,960.67/251,678.61
  6. Step 6: Final answer
    x = 196,971.34

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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.