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Finding the Fourth Proportional to 117,518, 162,174.84 and 64,526

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Solution

The fourth proportional to 117,518, 162,174.84 and 64,526 is: 89,045.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,518 : 162,174.84 = 64,526 : x
  2. Step 2: Convert to fraction form
    117,518/162,174.84 = 64,526/x
  3. Step 3: Cross multiply
    117,518x = 162,174.84 × 64,526
  4. Step 4: Simplify right side
    117,518x = 10,464,493,725.84
  5. Step 5: Solve for x
    x = 10,464,493,725.84/117,518
  6. Step 6: Final answer
    x = 89,045.88

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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.