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Finding the Fourth Proportional to 68,097, 93,973.86 and 38,289

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Solution

The fourth proportional to 68,097, 93,973.86 and 38,289 is: 52,838.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097 : 93,973.86 = 38,289 : x
  2. Step 2: Convert to fraction form
    68,097/93,973.86 = 38,289/x
  3. Step 3: Cross multiply
    68,097x = 93,973.86 × 38,289
  4. Step 4: Simplify right side
    68,097x = 3,598,165,125.54
  5. Step 5: Solve for x
    x = 3,598,165,125.54/68,097
  6. Step 6: Final answer
    x = 52,838.82

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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.