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Finding the Fourth Proportional to 208,802.78, 288,148.59 and 113,309.45

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Solution

The fourth proportional to 208,802.78, 288,148.59 and 113,309.45 is: 156,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,802.78 : 288,148.59 = 113,309.45 : x
  2. Step 2: Convert to fraction form
    208,802.78/288,148.59 = 113,309.45/x
  3. Step 3: Cross multiply
    208,802.78x = 288,148.59 × 113,309.45
  4. Step 4: Simplify right side
    208,802.78x = 32,649,957,890.99
  5. Step 5: Solve for x
    x = 32,649,957,890.99/208,802.78
  6. Step 6: Final answer
    x = 156,367.45

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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.