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Finding the Fourth Proportional to 231,657.98, 319,574.09 and 145,721.30

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Solution

The fourth proportional to 231,657.98, 319,574.09 and 145,721.30 is: 201,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,657.98 : 319,574.09 = 145,721.30 : x
  2. Step 2: Convert to fraction form
    231,657.98/319,574.09 = 145,721.30/x
  3. Step 3: Cross multiply
    231,657.98x = 319,574.09 × 145,721.30
  4. Step 4: Simplify right side
    231,657.98x = 46,568,750,607.55
  5. Step 5: Solve for x
    x = 46,568,750,607.55/231,657.98
  6. Step 6: Final answer
    x = 201,023.73

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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.