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Finding the Fourth Proportional to 154,865.76, 213,713.76 and 85,954.48

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Solution

The fourth proportional to 154,865.76, 213,713.76 and 85,954.48 is: 118,616.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,865.76 : 213,713.76 = 85,954.48 : x
  2. Step 2: Convert to fraction form
    154,865.76/213,713.76 = 85,954.48/x
  3. Step 3: Cross multiply
    154,865.76x = 213,713.76 × 85,954.48
  4. Step 4: Simplify right side
    154,865.76x = 18,369,655,109.64
  5. Step 5: Solve for x
    x = 18,369,655,109.64/154,865.76
  6. Step 6: Final answer
    x = 118,616.63

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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.