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Finding the Fourth Proportional to 117,314.49, 161,892.95 and 65,631.02

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Solution

The fourth proportional to 117,314.49, 161,892.95 and 65,631.02 is: 90,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,314.49 : 161,892.95 = 65,631.02 : x
  2. Step 2: Convert to fraction form
    117,314.49/161,892.95 = 65,631.02/x
  3. Step 3: Cross multiply
    117,314.49x = 161,892.95 × 65,631.02
  4. Step 4: Simplify right side
    117,314.49x = 10,625,199,439.31
  5. Step 5: Solve for x
    x = 10,625,199,439.31/117,314.49
  6. Step 6: Final answer
    x = 90,570.22

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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.