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Finding the Fourth Proportional to 82,856.80, 124,317.60 and 30,271.60

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Solution

The fourth proportional to 82,856.80, 124,317.60 and 30,271.60 is: 45,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.80 : 124,317.60 = 30,271.60 : x
  2. Step 2: Convert to fraction form
    82,856.80/124,317.60 = 30,271.60/x
  3. Step 3: Cross multiply
    82,856.80x = 124,317.60 × 30,271.60
  4. Step 4: Simplify right side
    82,856.80x = 3,763,292,660.16
  5. Step 5: Solve for x
    x = 3,763,292,660.16/82,856.80
  6. Step 6: Final answer
    x = 45,419.24

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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.