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Finding the Fourth Proportional to 281,125.44, 421,417.53 and 103,535.58

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Solution

The fourth proportional to 281,125.44, 421,417.53 and 103,535.58 is: 155,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,125.44 : 421,417.53 = 103,535.58 : x
  2. Step 2: Convert to fraction form
    281,125.44/421,417.53 = 103,535.58/x
  3. Step 3: Cross multiply
    281,125.44x = 421,417.53 × 103,535.58
  4. Step 4: Simplify right side
    281,125.44x = 43,631,708,390.72
  5. Step 5: Solve for x
    x = 43,631,708,390.72/281,125.44
  6. Step 6: Final answer
    x = 155,203.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.