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Finding the Fourth Proportional to 209,356.88, 288,800.34 and 145,583.96

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Solution

The fourth proportional to 209,356.88, 288,800.34 and 145,583.96 is: 200,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356.88 : 288,800.34 = 145,583.96 : x
  2. Step 2: Convert to fraction form
    209,356.88/288,800.34 = 145,583.96/x
  3. Step 3: Cross multiply
    209,356.88x = 288,800.34 × 145,583.96
  4. Step 4: Simplify right side
    209,356.88x = 42,044,697,146.55
  5. Step 5: Solve for x
    x = 42,044,697,146.55/209,356.88
  6. Step 6: Final answer
    x = 200,827.87

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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.