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Finding the Fourth Proportional to 137,930.54, 190,431.29 and 90,264.47

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Solution

The fourth proportional to 137,930.54, 190,431.29 and 90,264.47 is: 124,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,930.54 : 190,431.29 = 90,264.47 : x
  2. Step 2: Convert to fraction form
    137,930.54/190,431.29 = 90,264.47/x
  3. Step 3: Cross multiply
    137,930.54x = 190,431.29 × 90,264.47
  4. Step 4: Simplify right side
    137,930.54x = 17,189,179,011.94
  5. Step 5: Solve for x
    x = 17,189,179,011.94/137,930.54
  6. Step 6: Final answer
    x = 124,621.99

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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.