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Finding the Fourth Proportional to 105,905.60, 158,858.40 and 35,783.90

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Solution

The fourth proportional to 105,905.60, 158,858.40 and 35,783.90 is: 53,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,905.60 : 158,858.40 = 35,783.90 : x
  2. Step 2: Convert to fraction form
    105,905.60/158,858.40 = 35,783.90/x
  3. Step 3: Cross multiply
    105,905.60x = 158,858.40 × 35,783.90
  4. Step 4: Simplify right side
    105,905.60x = 5,684,573,099.76
  5. Step 5: Solve for x
    x = 5,684,573,099.76/105,905.60
  6. Step 6: Final answer
    x = 53,675.85

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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.