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Finding the Fourth Proportional to 251,699.62, 347,267.28 and 142,786

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Solution

The fourth proportional to 251,699.62, 347,267.28 and 142,786 is: 197,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,699.62 : 347,267.28 = 142,786 : x
  2. Step 2: Convert to fraction form
    251,699.62/347,267.28 = 142,786/x
  3. Step 3: Cross multiply
    251,699.62x = 347,267.28 × 142,786
  4. Step 4: Simplify right side
    251,699.62x = 49,584,905,842.08
  5. Step 5: Solve for x
    x = 49,584,905,842.08/251,699.62
  6. Step 6: Final answer
    x = 197,000.32

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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.