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Finding the Fourth Proportional to 50,509.84, 69,705.96 and 28,154

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Solution

The fourth proportional to 50,509.84, 69,705.96 and 28,154 is: 38,853.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.84 : 69,705.96 = 28,154 : x
  2. Step 2: Convert to fraction form
    50,509.84/69,705.96 = 28,154/x
  3. Step 3: Cross multiply
    50,509.84x = 69,705.96 × 28,154
  4. Step 4: Simplify right side
    50,509.84x = 1,962,501,597.84
  5. Step 5: Solve for x
    x = 1,962,501,597.84/50,509.84
  6. Step 6: Final answer
    x = 38,853.85

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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.