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Finding the Fourth Proportional to 65,015, 89,720.70 and 35,207

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Solution

The fourth proportional to 65,015, 89,720.70 and 35,207 is: 48,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015 : 89,720.70 = 35,207 : x
  2. Step 2: Convert to fraction form
    65,015/89,720.70 = 35,207/x
  3. Step 3: Cross multiply
    65,015x = 89,720.70 × 35,207
  4. Step 4: Simplify right side
    65,015x = 3,158,796,684.90
  5. Step 5: Solve for x
    x = 3,158,796,684.90/65,015
  6. Step 6: Final answer
    x = 48,585.66

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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.