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Finding the Fourth Proportional to 117,516, 162,172.08 and 64,524

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Solution

The fourth proportional to 117,516, 162,172.08 and 64,524 is: 89,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,516 : 162,172.08 = 64,524 : x
  2. Step 2: Convert to fraction form
    117,516/162,172.08 = 64,524/x
  3. Step 3: Cross multiply
    117,516x = 162,172.08 × 64,524
  4. Step 4: Simplify right side
    117,516x = 10,463,991,289.92
  5. Step 5: Solve for x
    x = 10,463,991,289.92/117,516
  6. Step 6: Final answer
    x = 89,043.12

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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.