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Finding the Fourth Proportional to 163,643.63, 225,830.94 and 107,055

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Solution

The fourth proportional to 163,643.63, 225,830.94 and 107,055 is: 147,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,643.63 : 225,830.94 = 107,055 : x
  2. Step 2: Convert to fraction form
    163,643.63/225,830.94 = 107,055/x
  3. Step 3: Cross multiply
    163,643.63x = 225,830.94 × 107,055
  4. Step 4: Simplify right side
    163,643.63x = 24,176,330,880.24
  5. Step 5: Solve for x
    x = 24,176,330,880.24/163,643.63
  6. Step 6: Final answer
    x = 147,737.69

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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.