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Finding the Fourth Proportional to 117,323.76, 161,889.84 and 65,640.54

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Solution

The fourth proportional to 117,323.76, 161,889.84 and 65,640.54 is: 90,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,323.76 : 161,889.84 = 65,640.54 : x
  2. Step 2: Convert to fraction form
    117,323.76/161,889.84 = 65,640.54/x
  3. Step 3: Cross multiply
    117,323.76x = 161,889.84 × 65,640.54
  4. Step 4: Simplify right side
    117,323.76x = 10,626,537,125.20
  5. Step 5: Solve for x
    x = 10,626,537,125.20/117,323.76
  6. Step 6: Final answer
    x = 90,574.47

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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.