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Finding the Fourth Proportional to 65,705, 90,672.90 and 35,897

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Solution

The fourth proportional to 65,705, 90,672.90 and 35,897 is: 49,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,705 : 90,672.90 = 35,897 : x
  2. Step 2: Convert to fraction form
    65,705/90,672.90 = 35,897/x
  3. Step 3: Cross multiply
    65,705x = 90,672.90 × 35,897
  4. Step 4: Simplify right side
    65,705x = 3,254,885,091.30
  5. Step 5: Solve for x
    x = 3,254,885,091.30/65,705
  6. Step 6: Final answer
    x = 49,537.86

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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.