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Finding the Fourth Proportional to 214,941, 322,411.50 and 83,613

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Solution

The fourth proportional to 214,941, 322,411.50 and 83,613 is: 125,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,941 : 322,411.50 = 83,613 : x
  2. Step 2: Convert to fraction form
    214,941/322,411.50 = 83,613/x
  3. Step 3: Cross multiply
    214,941x = 322,411.50 × 83,613
  4. Step 4: Simplify right side
    214,941x = 26,957,792,749.50
  5. Step 5: Solve for x
    x = 26,957,792,749.50/214,941
  6. Step 6: Final answer
    x = 125,419.50

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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.