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Finding the Fourth Proportional to 109,298.40, 163,947.60 and 89,858.40

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Solution

The fourth proportional to 109,298.40, 163,947.60 and 89,858.40 is: 134,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,298.40 : 163,947.60 = 89,858.40 : x
  2. Step 2: Convert to fraction form
    109,298.40/163,947.60 = 89,858.40/x
  3. Step 3: Cross multiply
    109,298.40x = 163,947.60 × 89,858.40
  4. Step 4: Simplify right side
    109,298.40x = 14,732,069,019.84
  5. Step 5: Solve for x
    x = 14,732,069,019.84/109,298.40
  6. Step 6: Final answer
    x = 134,787.60

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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.