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Finding the Fourth Proportional to 208,142.60, 312,338.47 and 89,813.96

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Solution

The fourth proportional to 208,142.60, 312,338.47 and 89,813.96 is: 134,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,142.60 : 312,338.47 = 89,813.96 : x
  2. Step 2: Convert to fraction form
    208,142.60/312,338.47 = 89,813.96/x
  3. Step 3: Cross multiply
    208,142.60x = 312,338.47 × 89,813.96
  4. Step 4: Simplify right side
    208,142.60x = 28,052,353,064.81
  5. Step 5: Solve for x
    x = 28,052,353,064.81/208,142.60
  6. Step 6: Final answer
    x = 134,774.68

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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.