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Finding the Fourth Proportional to 117,865, 162,653.70 and 64,873

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Solution

The fourth proportional to 117,865, 162,653.70 and 64,873 is: 89,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,865 : 162,653.70 = 64,873 : x
  2. Step 2: Convert to fraction form
    117,865/162,653.70 = 64,873/x
  3. Step 3: Cross multiply
    117,865x = 162,653.70 × 64,873
  4. Step 4: Simplify right side
    117,865x = 10,551,833,480.10
  5. Step 5: Solve for x
    x = 10,551,833,480.10/117,865
  6. Step 6: Final answer
    x = 89,524.74

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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.