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Finding the Fourth Proportional to 137,884.77, 190,260.26 and 77,443.84

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Solution

The fourth proportional to 137,884.77, 190,260.26 and 77,443.84 is: 106,860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,884.77 : 190,260.26 = 77,443.84 : x
  2. Step 2: Convert to fraction form
    137,884.77/190,260.26 = 77,443.84/x
  3. Step 3: Cross multiply
    137,884.77x = 190,260.26 × 77,443.84
  4. Step 4: Simplify right side
    137,884.77x = 14,734,484,851.76
  5. Step 5: Solve for x
    x = 14,734,484,851.76/137,884.77
  6. Step 6: Final answer
    x = 106,860.86

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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.