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Finding the Fourth Proportional to 50,442.84, 75,678.84 and 20,855.16

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Solution

The fourth proportional to 50,442.84, 75,678.84 and 20,855.16 is: 31,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,442.84 : 75,678.84 = 20,855.16 : x
  2. Step 2: Convert to fraction form
    50,442.84/75,678.84 = 20,855.16/x
  3. Step 3: Cross multiply
    50,442.84x = 75,678.84 × 20,855.16
  4. Step 4: Simplify right side
    50,442.84x = 1,578,294,316.81
  5. Step 5: Solve for x
    x = 1,578,294,316.81/50,442.84
  6. Step 6: Final answer
    x = 31,288.77

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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.