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Finding the Fourth Proportional to 137,765.89, 190,116.83 and 77,336.65

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Solution

The fourth proportional to 137,765.89, 190,116.83 and 77,336.65 is: 106,724.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,765.89 : 190,116.83 = 77,336.65 : x
  2. Step 2: Convert to fraction form
    137,765.89/190,116.83 = 77,336.65/x
  3. Step 3: Cross multiply
    137,765.89x = 190,116.83 × 77,336.65
  4. Step 4: Simplify right side
    137,765.89x = 14,702,999,171.81
  5. Step 5: Solve for x
    x = 14,702,999,171.81/137,765.89
  6. Step 6: Final answer
    x = 106,724.52

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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.