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Finding the Fourth Proportional to 208,861.72, 288,229.48 and 113,368.48

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Solution

The fourth proportional to 208,861.72, 288,229.48 and 113,368.48 is: 156,448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,861.72 : 288,229.48 = 113,368.48 : x
  2. Step 2: Convert to fraction form
    208,861.72/288,229.48 = 113,368.48/x
  3. Step 3: Cross multiply
    208,861.72x = 288,229.48 × 113,368.48
  4. Step 4: Simplify right side
    208,861.72x = 32,676,138,038.79
  5. Step 5: Solve for x
    x = 32,676,138,038.79/208,861.72
  6. Step 6: Final answer
    x = 156,448.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.