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Finding the Fourth Proportional to 65,013, 89,717.94 and 35,205

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Solution

The fourth proportional to 65,013, 89,717.94 and 35,205 is: 48,582.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013 : 89,717.94 = 35,205 : x
  2. Step 2: Convert to fraction form
    65,013/89,717.94 = 35,205/x
  3. Step 3: Cross multiply
    65,013x = 89,717.94 × 35,205
  4. Step 4: Simplify right side
    65,013x = 3,158,520,077.70
  5. Step 5: Solve for x
    x = 3,158,520,077.70/65,013
  6. Step 6: Final answer
    x = 48,582.90

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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.