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Finding the Fourth Proportional to 109,264.60, 163,935.30 and 105,424.60

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Solution

The fourth proportional to 109,264.60, 163,935.30 and 105,424.60 is: 158,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,264.60 : 163,935.30 = 105,424.60 : x
  2. Step 2: Convert to fraction form
    109,264.60/163,935.30 = 105,424.60/x
  3. Step 3: Cross multiply
    109,264.60x = 163,935.30 × 105,424.60
  4. Step 4: Simplify right side
    109,264.60x = 17,282,813,428.38
  5. Step 5: Solve for x
    x = 17,282,813,428.38/109,264.60
  6. Step 6: Final answer
    x = 158,173.95

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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.