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Finding the Fourth Proportional to 82,986.40, 124,220.40 and 59,658.40

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Solution

The fourth proportional to 82,986.40, 124,220.40 and 59,658.40 is: 89,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,986.40 : 124,220.40 = 59,658.40 : x
  2. Step 2: Convert to fraction form
    82,986.40/124,220.40 = 59,658.40/x
  3. Step 3: Cross multiply
    82,986.40x = 124,220.40 × 59,658.40
  4. Step 4: Simplify right side
    82,986.40x = 7,410,790,311.36
  5. Step 5: Solve for x
    x = 7,410,790,311.36/82,986.40
  6. Step 6: Final answer
    x = 89,301.26

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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.