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Finding the Fourth Proportional to 65,185, 89,955.38 and 35,377

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Solution

The fourth proportional to 65,185, 89,955.38 and 35,377 is: 48,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,185 : 89,955.38 = 35,377 : x
  2. Step 2: Convert to fraction form
    65,185/89,955.38 = 35,377/x
  3. Step 3: Cross multiply
    65,185x = 89,955.38 × 35,377
  4. Step 4: Simplify right side
    65,185x = 3,182,351,478.26
  5. Step 5: Solve for x
    x = 3,182,351,478.26/65,185
  6. Step 6: Final answer
    x = 48,820.30

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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.