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Finding the Fourth Proportional to 251,020.70, 346,404.30 and 137,842.64

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Solution

The fourth proportional to 251,020.70, 346,404.30 and 137,842.64 is: 190,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,020.70 : 346,404.30 = 137,842.64 : x
  2. Step 2: Convert to fraction form
    251,020.70/346,404.30 = 137,842.64/x
  3. Step 3: Cross multiply
    251,020.70x = 346,404.30 × 137,842.64
  4. Step 4: Simplify right side
    251,020.70x = 47,749,283,219.35
  5. Step 5: Solve for x
    x = 47,749,283,219.35/251,020.70
  6. Step 6: Final answer
    x = 190,220.50

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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.