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Finding the Fourth Proportional to 205,683.04, 308,531.28 and 70,745.72

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Solution

The fourth proportional to 205,683.04, 308,531.28 and 70,745.72 is: 106,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,683.04 : 308,531.28 = 70,745.72 : x
  2. Step 2: Convert to fraction form
    205,683.04/308,531.28 = 70,745.72/x
  3. Step 3: Cross multiply
    205,683.04x = 308,531.28 × 70,745.72
  4. Step 4: Simplify right side
    205,683.04x = 21,827,267,546.12
  5. Step 5: Solve for x
    x = 21,827,267,546.12/205,683.04
  6. Step 6: Final answer
    x = 106,120.89

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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.