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Finding the Fourth Proportional to 251,146.62, 346,580.91 and 137,966.94

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Solution

The fourth proportional to 251,146.62, 346,580.91 and 137,966.94 is: 190,393.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,146.62 : 346,580.91 = 137,966.94 : x
  2. Step 2: Convert to fraction form
    251,146.62/346,580.91 = 137,966.94/x
  3. Step 3: Cross multiply
    251,146.62x = 346,580.91 × 137,966.94
  4. Step 4: Simplify right side
    251,146.62x = 47,816,707,615.12
  5. Step 5: Solve for x
    x = 47,816,707,615.12/251,146.62
  6. Step 6: Final answer
    x = 190,393.59

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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.