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Finding the Fourth Proportional to 231,345.51, 319,232.12 and 129,360.44

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Solution

The fourth proportional to 231,345.51, 319,232.12 and 129,360.44 is: 178,503.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,345.51 : 319,232.12 = 129,360.44 : x
  2. Step 2: Convert to fraction form
    231,345.51/319,232.12 = 129,360.44/x
  3. Step 3: Cross multiply
    231,345.51x = 319,232.12 × 129,360.44
  4. Step 4: Simplify right side
    231,345.51x = 41,296,005,262.37
  5. Step 5: Solve for x
    x = 41,296,005,262.37/231,345.51
  6. Step 6: Final answer
    x = 178,503.60

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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.