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Finding the Fourth Proportional to 65,212.60, 97,829.70 and 27,790.60

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Solution

The fourth proportional to 65,212.60, 97,829.70 and 27,790.60 is: 41,690.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,212.60 : 97,829.70 = 27,790.60 : x
  2. Step 2: Convert to fraction form
    65,212.60/97,829.70 = 27,790.60/x
  3. Step 3: Cross multiply
    65,212.60x = 97,829.70 × 27,790.60
  4. Step 4: Simplify right side
    65,212.60x = 2,718,746,060.82
  5. Step 5: Solve for x
    x = 2,718,746,060.82/65,212.60
  6. Step 6: Final answer
    x = 41,690.50

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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.