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Finding the Fourth Proportional to 82,772, 124,235.70 and 43,357.40

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Solution

The fourth proportional to 82,772, 124,235.70 and 43,357.40 is: 65,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,772 : 124,235.70 = 43,357.40 : x
  2. Step 2: Convert to fraction form
    82,772/124,235.70 = 43,357.40/x
  3. Step 3: Cross multiply
    82,772x = 124,235.70 × 43,357.40
  4. Step 4: Simplify right side
    82,772x = 5,386,536,939.18
  5. Step 5: Solve for x
    x = 5,386,536,939.18/82,772
  6. Step 6: Final answer
    x = 65,076.80

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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.