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Finding the Fourth Proportional to 54,678.80, 82,018.20 and 13,125.80

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Solution

The fourth proportional to 54,678.80, 82,018.20 and 13,125.80 is: 19,688.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678.80 : 82,018.20 = 13,125.80 : x
  2. Step 2: Convert to fraction form
    54,678.80/82,018.20 = 13,125.80/x
  3. Step 3: Cross multiply
    54,678.80x = 82,018.20 × 13,125.80
  4. Step 4: Simplify right side
    54,678.80x = 1,076,554,171.73
  5. Step 5: Solve for x
    x = 1,076,554,171.73/54,678.80
  6. Step 6: Final answer
    x = 19,688.70

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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.