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Finding the Fourth Proportional to 109,047.60, 163,571.40 and 104,965.20

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Solution

The fourth proportional to 109,047.60, 163,571.40 and 104,965.20 is: 157,447.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,047.60 : 163,571.40 = 104,965.20 : x
  2. Step 2: Convert to fraction form
    109,047.60/163,571.40 = 104,965.20/x
  3. Step 3: Cross multiply
    109,047.60x = 163,571.40 × 104,965.20
  4. Step 4: Simplify right side
    109,047.60x = 17,169,304,715.28
  5. Step 5: Solve for x
    x = 17,169,304,715.28/109,047.60
  6. Step 6: Final answer
    x = 157,447.80

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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.