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Finding the Fourth Proportional to 65,196.90, 97,800.75 and 20,829.96

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Solution

The fourth proportional to 65,196.90, 97,800.75 and 20,829.96 is: 31,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,196.90 : 97,800.75 = 20,829.96 : x
  2. Step 2: Convert to fraction form
    65,196.90/97,800.75 = 20,829.96/x
  3. Step 3: Cross multiply
    65,196.90x = 97,800.75 × 20,829.96
  4. Step 4: Simplify right side
    65,196.90x = 2,037,185,710.47
  5. Step 5: Solve for x
    x = 2,037,185,710.47/65,196.90
  6. Step 6: Final answer
    x = 31,246.67

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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.