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Finding the Fourth Proportional to 65,311, 90,129.30 and 35,503

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Solution

The fourth proportional to 65,311, 90,129.30 and 35,503 is: 48,994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,311 : 90,129.30 = 35,503 : x
  2. Step 2: Convert to fraction form
    65,311/90,129.30 = 35,503/x
  3. Step 3: Cross multiply
    65,311x = 90,129.30 × 35,503
  4. Step 4: Simplify right side
    65,311x = 3,199,860,537.90
  5. Step 5: Solve for x
    x = 3,199,860,537.90/65,311
  6. Step 6: Final answer
    x = 48,994.21

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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.