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Finding the Fourth Proportional to 137,901.98, 190,303.59 and 77,471.33

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Solution

The fourth proportional to 137,901.98, 190,303.59 and 77,471.33 is: 106,909.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,901.98 : 190,303.59 = 77,471.33 : x
  2. Step 2: Convert to fraction form
    137,901.98/190,303.59 = 77,471.33/x
  3. Step 3: Cross multiply
    137,901.98x = 190,303.59 × 77,471.33
  4. Step 4: Simplify right side
    137,901.98x = 14,743,072,221.07
  5. Step 5: Solve for x
    x = 14,743,072,221.07/137,901.98
  6. Step 6: Final answer
    x = 106,909.79

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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.