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Finding the Fourth Proportional to 109,101.40, 163,646.70 and 34,228.78

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Solution

The fourth proportional to 109,101.40, 163,646.70 and 34,228.78 is: 51,341.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,101.40 : 163,646.70 = 34,228.78 : x
  2. Step 2: Convert to fraction form
    109,101.40/163,646.70 = 34,228.78/x
  3. Step 3: Cross multiply
    109,101.40x = 163,646.70 × 34,228.78
  4. Step 4: Simplify right side
    109,101.40x = 5,601,426,892.03
  5. Step 5: Solve for x
    x = 5,601,426,892.03/109,101.40
  6. Step 6: Final answer
    x = 51,341.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.