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Finding the Fourth Proportional to 256,737.60, 385,172.20 and 106,928.08

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Solution

The fourth proportional to 256,737.60, 385,172.20 and 106,928.08 is: 160,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,737.60 : 385,172.20 = 106,928.08 : x
  2. Step 2: Convert to fraction form
    256,737.60/385,172.20 = 106,928.08/x
  3. Step 3: Cross multiply
    256,737.60x = 385,172.20 × 106,928.08
  4. Step 4: Simplify right side
    256,737.60x = 41,185,723,815.38
  5. Step 5: Solve for x
    x = 41,185,723,815.38/256,737.60
  6. Step 6: Final answer
    x = 160,419.52

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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.