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Finding the Fourth Proportional to 208,792, 288,139.36 and 122,735.20

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Solution

The fourth proportional to 208,792, 288,139.36 and 122,735.20 is: 169,378.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,792 : 288,139.36 = 122,735.20 : x
  2. Step 2: Convert to fraction form
    208,792/288,139.36 = 122,735.20/x
  3. Step 3: Cross multiply
    208,792x = 288,139.36 × 122,735.20
  4. Step 4: Simplify right side
    208,792x = 35,364,841,977.47
  5. Step 5: Solve for x
    x = 35,364,841,977.47/208,792
  6. Step 6: Final answer
    x = 169,378.34

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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.