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Finding the Fourth Proportional to 208,996.13, 288,534.21 and 137,583.74

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Solution

The fourth proportional to 208,996.13, 288,534.21 and 137,583.74 is: 189,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,996.13 : 288,534.21 = 137,583.74 : x
  2. Step 2: Convert to fraction form
    208,996.13/288,534.21 = 137,583.74/x
  3. Step 3: Cross multiply
    208,996.13x = 288,534.21 × 137,583.74
  4. Step 4: Simplify right side
    208,996.13x = 39,697,616,803.39
  5. Step 5: Solve for x
    x = 39,697,616,803.39/208,996.13
  6. Step 6: Final answer
    x = 189,944.27

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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.