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Finding the Fourth Proportional to 118,893.42, 164,074.80 and 71,148.78

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Solution

The fourth proportional to 118,893.42, 164,074.80 and 71,148.78 is: 98,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,893.42 : 164,074.80 = 71,148.78 : x
  2. Step 2: Convert to fraction form
    118,893.42/164,074.80 = 71,148.78/x
  3. Step 3: Cross multiply
    118,893.42x = 164,074.80 × 71,148.78
  4. Step 4: Simplify right side
    118,893.42x = 11,673,721,848.74
  5. Step 5: Solve for x
    x = 11,673,721,848.74/118,893.42
  6. Step 6: Final answer
    x = 98,186.44

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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.