Home / 82,784.32-114,235.68-57,688

Finding the Fourth Proportional to 82,784.32, 114,235.68 and 57,688

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Solution

The fourth proportional to 82,784.32, 114,235.68 and 57,688 is: 79,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,784.32 : 114,235.68 = 57,688 : x
  2. Step 2: Convert to fraction form
    82,784.32/114,235.68 = 57,688/x
  3. Step 3: Cross multiply
    82,784.32x = 114,235.68 × 57,688
  4. Step 4: Simplify right side
    82,784.32x = 6,590,027,907.84
  5. Step 5: Solve for x
    x = 6,590,027,907.84/82,784.32
  6. Step 6: Final answer
    x = 79,604.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.