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Finding the Fourth Proportional to 137,696.64, 190,053.12 and 89,865.60

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Solution

The fourth proportional to 137,696.64, 190,053.12 and 89,865.60 is: 124,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,696.64 : 190,053.12 = 89,865.60 : x
  2. Step 2: Convert to fraction form
    137,696.64/190,053.12 = 89,865.60/x
  3. Step 3: Cross multiply
    137,696.64x = 190,053.12 × 89,865.60
  4. Step 4: Simplify right side
    137,696.64x = 17,079,237,660.67
  5. Step 5: Solve for x
    x = 17,079,237,660.67/137,696.64
  6. Step 6: Final answer
    x = 124,035.25

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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.