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Finding the Fourth Proportional to 208,916.91, 288,019.70 and 143,503.74

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Solution

The fourth proportional to 208,916.91, 288,019.70 and 143,503.74 is: 197,838.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,916.91 : 288,019.70 = 143,503.74 : x
  2. Step 2: Convert to fraction form
    208,916.91/288,019.70 = 143,503.74/x
  3. Step 3: Cross multiply
    208,916.91x = 288,019.70 × 143,503.74
  4. Step 4: Simplify right side
    208,916.91x = 41,331,904,143.68
  5. Step 5: Solve for x
    x = 41,331,904,143.68/208,916.91
  6. Step 6: Final answer
    x = 197,838.96

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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.