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Finding the Fourth Proportional to 52,095.40, 78,027.90 and 20,914.60

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Solution

The fourth proportional to 52,095.40, 78,027.90 and 20,914.60 is: 31,325.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,095.40 : 78,027.90 = 20,914.60 : x
  2. Step 2: Convert to fraction form
    52,095.40/78,027.90 = 20,914.60/x
  3. Step 3: Cross multiply
    52,095.40x = 78,027.90 × 20,914.60
  4. Step 4: Simplify right side
    52,095.40x = 1,631,922,317.34
  5. Step 5: Solve for x
    x = 1,631,922,317.34/52,095.40
  6. Step 6: Final answer
    x = 31,325.65

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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.