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Finding the Fourth Proportional to 245,401.56, 338,653.74 and 137,971.80

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Solution

The fourth proportional to 245,401.56, 338,653.74 and 137,971.80 is: 190,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,401.56 : 338,653.74 = 137,971.80 : x
  2. Step 2: Convert to fraction form
    245,401.56/338,653.74 = 137,971.80/x
  3. Step 3: Cross multiply
    245,401.56x = 338,653.74 × 137,971.80
  4. Step 4: Simplify right side
    245,401.56x = 46,724,666,084.53
  5. Step 5: Solve for x
    x = 46,724,666,084.53/245,401.56
  6. Step 6: Final answer
    x = 190,400.85

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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.