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Finding the Fourth Proportional to 231,743.88, 319,838.95 and 167,421.22

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Solution

The fourth proportional to 231,743.88, 319,838.95 and 167,421.22 is: 231,064.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,743.88 : 319,838.95 = 167,421.22 : x
  2. Step 2: Convert to fraction form
    231,743.88/319,838.95 = 167,421.22/x
  3. Step 3: Cross multiply
    231,743.88x = 319,838.95 × 167,421.22
  4. Step 4: Simplify right side
    231,743.88x = 53,547,827,286.31
  5. Step 5: Solve for x
    x = 53,547,827,286.31/231,743.88
  6. Step 6: Final answer
    x = 231,064.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.