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Finding the Fourth Proportional to 109,293, 163,830.06 and 42,641.43

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Solution

The fourth proportional to 109,293, 163,830.06 and 42,641.43 is: 63,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,293 : 163,830.06 = 42,641.43 : x
  2. Step 2: Convert to fraction form
    109,293/163,830.06 = 42,641.43/x
  3. Step 3: Cross multiply
    109,293x = 163,830.06 × 42,641.43
  4. Step 4: Simplify right side
    109,293x = 6,985,948,035.39
  5. Step 5: Solve for x
    x = 6,985,948,035.39/109,293
  6. Step 6: Final answer
    x = 63,919.45

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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.