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Finding the Fourth Proportional to 54,678.78, 82,018.17 and 13,125.78

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Solution

The fourth proportional to 54,678.78, 82,018.17 and 13,125.78 is: 19,688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,678.78 : 82,018.17 = 13,125.78 : x
  2. Step 2: Convert to fraction form
    54,678.78/82,018.17 = 13,125.78/x
  3. Step 3: Cross multiply
    54,678.78x = 82,018.17 × 13,125.78
  4. Step 4: Simplify right side
    54,678.78x = 1,076,552,455.42
  5. Step 5: Solve for x
    x = 1,076,552,455.42/54,678.78
  6. Step 6: Final answer
    x = 19,688.67

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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.