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Finding the Fourth Proportional to 65,492.31, 90,379.39 and 35,684.31

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Solution

The fourth proportional to 65,492.31, 90,379.39 and 35,684.31 is: 49,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,492.31 : 90,379.39 = 35,684.31 : x
  2. Step 2: Convert to fraction form
    65,492.31/90,379.39 = 35,684.31/x
  3. Step 3: Cross multiply
    65,492.31x = 90,379.39 × 35,684.31
  4. Step 4: Simplify right side
    65,492.31x = 3,225,126,170.37
  5. Step 5: Solve for x
    x = 3,225,126,170.37/65,492.31
  6. Step 6: Final answer
    x = 49,244.35

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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.