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Finding the Fourth Proportional to 208,749.94, 288,071.30 and 127,048.62

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Solution

The fourth proportional to 208,749.94, 288,071.30 and 127,048.62 is: 175,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,749.94 : 288,071.30 = 127,048.62 : x
  2. Step 2: Convert to fraction form
    208,749.94/288,071.30 = 127,048.62/x
  3. Step 3: Cross multiply
    208,749.94x = 288,071.30 × 127,048.62
  4. Step 4: Simplify right side
    208,749.94x = 36,599,061,126.61
  5. Step 5: Solve for x
    x = 36,599,061,126.61/208,749.94
  6. Step 6: Final answer
    x = 175,324.89

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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.