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Finding the Fourth Proportional to 65,300.21, 97,987.20 and 27,856.74

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Solution

The fourth proportional to 65,300.21, 97,987.20 and 27,856.74 is: 41,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,300.21 : 97,987.20 = 27,856.74 : x
  2. Step 2: Convert to fraction form
    65,300.21/97,987.20 = 27,856.74/x
  3. Step 3: Cross multiply
    65,300.21x = 97,987.20 × 27,856.74
  4. Step 4: Simplify right side
    65,300.21x = 2,729,603,953.73
  5. Step 5: Solve for x
    x = 2,729,603,953.73/65,300.21
  6. Step 6: Final answer
    x = 41,800.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.