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Finding the Fourth Proportional to 85,161.56, 117,521.34 and 53,348

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Solution

The fourth proportional to 85,161.56, 117,521.34 and 53,348 is: 73,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,161.56 : 117,521.34 = 53,348 : x
  2. Step 2: Convert to fraction form
    85,161.56/117,521.34 = 53,348/x
  3. Step 3: Cross multiply
    85,161.56x = 117,521.34 × 53,348
  4. Step 4: Simplify right side
    85,161.56x = 6,269,528,446.32
  5. Step 5: Solve for x
    x = 6,269,528,446.32/85,161.56
  6. Step 6: Final answer
    x = 73,619.23

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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.