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Finding the Fourth Proportional to 65,519, 90,416.26 and 35,711

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Solution

The fourth proportional to 65,519, 90,416.26 and 35,711 is: 49,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,519 : 90,416.26 = 35,711 : x
  2. Step 2: Convert to fraction form
    65,519/90,416.26 = 35,711/x
  3. Step 3: Cross multiply
    65,519x = 90,416.26 × 35,711
  4. Step 4: Simplify right side
    65,519x = 3,228,855,060.86
  5. Step 5: Solve for x
    x = 3,228,855,060.86/65,519
  6. Step 6: Final answer
    x = 49,281.20

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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.