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Finding the Fourth Proportional to 137,508.84, 189,770.96 and 77,079.51

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Solution

The fourth proportional to 137,508.84, 189,770.96 and 77,079.51 is: 106,374.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,508.84 : 189,770.96 = 77,079.51 : x
  2. Step 2: Convert to fraction form
    137,508.84/189,770.96 = 77,079.51/x
  3. Step 3: Cross multiply
    137,508.84x = 189,770.96 × 77,079.51
  4. Step 4: Simplify right side
    137,508.84x = 14,627,452,801.73
  5. Step 5: Solve for x
    x = 14,627,452,801.73/137,508.84
  6. Step 6: Final answer
    x = 106,374.64

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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.