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Finding the Fourth Proportional to 137,858.79, 190,231.70 and 77,415.69

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Solution

The fourth proportional to 137,858.79, 190,231.70 and 77,415.69 is: 106,826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,858.79 : 190,231.70 = 77,415.69 : x
  2. Step 2: Convert to fraction form
    137,858.79/190,231.70 = 77,415.69/x
  3. Step 3: Cross multiply
    137,858.79x = 190,231.70 × 77,415.69
  4. Step 4: Simplify right side
    137,858.79x = 14,726,917,928.29
  5. Step 5: Solve for x
    x = 14,726,917,928.29/137,858.79
  6. Step 6: Final answer
    x = 106,826.11

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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.