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Finding the Fourth Proportional to 231,957.78, 319,881.33 and 151,359.54

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Solution

The fourth proportional to 231,957.78, 319,881.33 and 151,359.54 is: 208,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,957.78 : 319,881.33 = 151,359.54 : x
  2. Step 2: Convert to fraction form
    231,957.78/319,881.33 = 151,359.54/x
  3. Step 3: Cross multiply
    231,957.78x = 319,881.33 × 151,359.54
  4. Step 4: Simplify right side
    231,957.78x = 48,417,090,963.39
  5. Step 5: Solve for x
    x = 48,417,090,963.39/231,957.78
  6. Step 6: Final answer
    x = 208,732.34

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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.