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Finding the Fourth Proportional to 54,678.56, 82,017.84 and 13,125.56

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Solution

The fourth proportional to 54,678.56, 82,017.84 and 13,125.56 is: 19,688.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678.56 : 82,017.84 = 13,125.56 : x
  2. Step 2: Convert to fraction form
    54,678.56/82,017.84 = 13,125.56/x
  3. Step 3: Cross multiply
    54,678.56x = 82,017.84 × 13,125.56
  4. Step 4: Simplify right side
    54,678.56x = 1,076,529,669.90
  5. Step 5: Solve for x
    x = 1,076,529,669.90/54,678.56
  6. Step 6: Final answer
    x = 19,688.33

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1.5x scale

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.