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Finding the Fourth Proportional to 82,783.80, 124,201.62 and 53,235

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Solution

The fourth proportional to 82,783.80, 124,201.62 and 53,235 is: 79,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783.80 : 124,201.62 = 53,235 : x
  2. Step 2: Convert to fraction form
    82,783.80/124,201.62 = 53,235/x
  3. Step 3: Cross multiply
    82,783.80x = 124,201.62 × 53,235
  4. Step 4: Simplify right side
    82,783.80x = 6,611,873,240.70
  5. Step 5: Solve for x
    x = 6,611,873,240.70/82,783.80
  6. Step 6: Final answer
    x = 79,869.17

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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.