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Finding the Fourth Proportional to 137,886.54, 190,304.02 and 84,202.68

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Solution

The fourth proportional to 137,886.54, 190,304.02 and 84,202.68 is: 116,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,886.54 : 190,304.02 = 84,202.68 : x
  2. Step 2: Convert to fraction form
    137,886.54/190,304.02 = 84,202.68/x
  3. Step 3: Cross multiply
    137,886.54x = 190,304.02 × 84,202.68
  4. Step 4: Simplify right side
    137,886.54x = 16,024,108,498.77
  5. Step 5: Solve for x
    x = 16,024,108,498.77/137,886.54
  6. Step 6: Final answer
    x = 116,212.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.