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Finding the Fourth Proportional to 118,670.78, 163,769.64 and 67,691

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Solution

The fourth proportional to 118,670.78, 163,769.64 and 67,691 is: 93,415.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,670.78 : 163,769.64 = 67,691 : x
  2. Step 2: Convert to fraction form
    118,670.78/163,769.64 = 67,691/x
  3. Step 3: Cross multiply
    118,670.78x = 163,769.64 × 67,691
  4. Step 4: Simplify right side
    118,670.78x = 11,085,730,701.24
  5. Step 5: Solve for x
    x = 11,085,730,701.24/118,670.78
  6. Step 6: Final answer
    x = 93,415.84

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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.