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Finding the Fourth Proportional to 208,992.64, 288,411.96 and 113,501.20

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Solution

The fourth proportional to 208,992.64, 288,411.96 and 113,501.20 is: 156,632.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,992.64 : 288,411.96 = 113,501.20 : x
  2. Step 2: Convert to fraction form
    208,992.64/288,411.96 = 113,501.20/x
  3. Step 3: Cross multiply
    208,992.64x = 288,411.96 × 113,501.20
  4. Step 4: Simplify right side
    208,992.64x = 32,735,103,554.35
  5. Step 5: Solve for x
    x = 32,735,103,554.35/208,992.64
  6. Step 6: Final answer
    x = 156,632.81

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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.