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Finding the Fourth Proportional to 109,954.56, 151,683.84 and 65,210.88

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Solution

The fourth proportional to 109,954.56, 151,683.84 and 65,210.88 is: 89,959.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,954.56 : 151,683.84 = 65,210.88 : x
  2. Step 2: Convert to fraction form
    109,954.56/151,683.84 = 65,210.88/x
  3. Step 3: Cross multiply
    109,954.56x = 151,683.84 × 65,210.88
  4. Step 4: Simplify right side
    109,954.56x = 9,891,436,688.18
  5. Step 5: Solve for x
    x = 9,891,436,688.18/109,954.56
  6. Step 6: Final answer
    x = 89,959.31

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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.