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Finding the Fourth Proportional to 210,622.60, 315,933.90 and 105,427.90

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Solution

The fourth proportional to 210,622.60, 315,933.90 and 105,427.90 is: 158,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,622.60 : 315,933.90 = 105,427.90 : x
  2. Step 2: Convert to fraction form
    210,622.60/315,933.90 = 105,427.90/x
  3. Step 3: Cross multiply
    210,622.60x = 315,933.90 × 105,427.90
  4. Step 4: Simplify right side
    210,622.60x = 33,308,247,615.81
  5. Step 5: Solve for x
    x = 33,308,247,615.81/210,622.60
  6. Step 6: Final answer
    x = 158,141.85

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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.