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Finding the Fourth Proportional to 109,393.60, 163,948.20 and 49,378

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Solution

The fourth proportional to 109,393.60, 163,948.20 and 49,378 is: 74,002.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,393.60 : 163,948.20 = 49,378 : x
  2. Step 2: Convert to fraction form
    109,393.60/163,948.20 = 49,378/x
  3. Step 3: Cross multiply
    109,393.60x = 163,948.20 × 49,378
  4. Step 4: Simplify right side
    109,393.60x = 8,095,434,219.60
  5. Step 5: Solve for x
    x = 8,095,434,219.60/109,393.60
  6. Step 6: Final answer
    x = 74,002.81

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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.