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Finding the Fourth Proportional to 161,682, 223,121.16 and 94,614

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Solution

The fourth proportional to 161,682, 223,121.16 and 94,614 is: 130,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,682 : 223,121.16 = 94,614 : x
  2. Step 2: Convert to fraction form
    161,682/223,121.16 = 94,614/x
  3. Step 3: Cross multiply
    161,682x = 223,121.16 × 94,614
  4. Step 4: Simplify right side
    161,682x = 21,110,385,432.24
  5. Step 5: Solve for x
    x = 21,110,385,432.24/161,682
  6. Step 6: Final answer
    x = 130,567.32

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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.