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Finding the Fourth Proportional to 109,148.79, 163,716.49 and 64,195

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Solution

The fourth proportional to 109,148.79, 163,716.49 and 64,195 is: 96,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,148.79 : 163,716.49 = 64,195 : x
  2. Step 2: Convert to fraction form
    109,148.79/163,716.49 = 64,195/x
  3. Step 3: Cross multiply
    109,148.79x = 163,716.49 × 64,195
  4. Step 4: Simplify right side
    109,148.79x = 10,509,780,075.55
  5. Step 5: Solve for x
    x = 10,509,780,075.55/109,148.79
  6. Step 6: Final answer
    x = 96,288.56

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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.