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Finding the Fourth Proportional to 227,182.78, 340,397.52 and 138,167.02

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Solution

The fourth proportional to 227,182.78, 340,397.52 and 138,167.02 is: 207,021.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,182.78 : 340,397.52 = 138,167.02 : x
  2. Step 2: Convert to fraction form
    227,182.78/340,397.52 = 138,167.02/x
  3. Step 3: Cross multiply
    227,182.78x = 340,397.52 × 138,167.02
  4. Step 4: Simplify right side
    227,182.78x = 47,031,710,953.79
  5. Step 5: Solve for x
    x = 47,031,710,953.79/227,182.78
  6. Step 6: Final answer
    x = 207,021.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.