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Finding the Fourth Proportional to 117,963, 162,788.94 and 64,971

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Solution

The fourth proportional to 117,963, 162,788.94 and 64,971 is: 89,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,963 : 162,788.94 = 64,971 : x
  2. Step 2: Convert to fraction form
    117,963/162,788.94 = 64,971/x
  3. Step 3: Cross multiply
    117,963x = 162,788.94 × 64,971
  4. Step 4: Simplify right side
    117,963x = 10,576,560,220.74
  5. Step 5: Solve for x
    x = 10,576,560,220.74/117,963
  6. Step 6: Final answer
    x = 89,659.98

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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.