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Finding the Fourth Proportional to 229,699.41, 316,959.80 and 137,813.82

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Solution

The fourth proportional to 229,699.41, 316,959.80 and 137,813.82 is: 190,167.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,699.41 : 316,959.80 = 137,813.82 : x
  2. Step 2: Convert to fraction form
    229,699.41/316,959.80 = 137,813.82/x
  3. Step 3: Cross multiply
    229,699.41x = 316,959.80 × 137,813.82
  4. Step 4: Simplify right side
    229,699.41x = 43,681,440,824.44
  5. Step 5: Solve for x
    x = 43,681,440,824.44/229,699.41
  6. Step 6: Final answer
    x = 190,167.84

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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.