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Finding the Fourth Proportional to 281,099.56, 387,938.44 and 160,243.72

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Solution

The fourth proportional to 281,099.56, 387,938.44 and 160,243.72 is: 221,148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,099.56 : 387,938.44 = 160,243.72 : x
  2. Step 2: Convert to fraction form
    281,099.56/387,938.44 = 160,243.72/x
  3. Step 3: Cross multiply
    281,099.56x = 387,938.44 × 160,243.72
  4. Step 4: Simplify right side
    281,099.56x = 62,164,698,756.60
  5. Step 5: Solve for x
    x = 62,164,698,756.60/281,099.56
  6. Step 6: Final answer
    x = 221,148.33

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1.5x scale

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.