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Finding the Fourth Proportional to 208,951.05, 288,353.54 and 113,457.72

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Solution

The fourth proportional to 208,951.05, 288,353.54 and 113,457.72 is: 156,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,951.05 : 288,353.54 = 113,457.72 : x
  2. Step 2: Convert to fraction form
    208,951.05/288,353.54 = 113,457.72/x
  3. Step 3: Cross multiply
    208,951.05x = 288,353.54 × 113,457.72
  4. Step 4: Simplify right side
    208,951.05x = 32,715,935,202.33
  5. Step 5: Solve for x
    x = 32,715,935,202.33/208,951.05
  6. Step 6: Final answer
    x = 156,572.25

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1.5x scale

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.