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Finding the Fourth Proportional to 216,590.79, 324,941.60 and 83,435.30

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Solution

The fourth proportional to 216,590.79, 324,941.60 and 83,435.30 is: 125,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,590.79 : 324,941.60 = 83,435.30 : x
  2. Step 2: Convert to fraction form
    216,590.79/324,941.60 = 83,435.30/x
  3. Step 3: Cross multiply
    216,590.79x = 324,941.60 × 83,435.30
  4. Step 4: Simplify right side
    216,590.79x = 27,111,599,878.48
  5. Step 5: Solve for x
    x = 27,111,599,878.48/216,590.79
  6. Step 6: Final answer
    x = 125,174.30

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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.