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Finding the Fourth Proportional to 203,488.90, 305,160.45 and 103,615.90

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Solution

The fourth proportional to 203,488.90, 305,160.45 and 103,615.90 is: 155,386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,488.90 : 305,160.45 = 103,615.90 : x
  2. Step 2: Convert to fraction form
    203,488.90/305,160.45 = 103,615.90/x
  3. Step 3: Cross multiply
    203,488.90x = 305,160.45 × 103,615.90
  4. Step 4: Simplify right side
    203,488.90x = 31,619,474,671.16
  5. Step 5: Solve for x
    x = 31,619,474,671.16/203,488.90
  6. Step 6: Final answer
    x = 155,386.73

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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.