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Finding the Fourth Proportional to 50,975.96, 70,344.42 and 28,316.40

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Solution

The fourth proportional to 50,975.96, 70,344.42 and 28,316.40 is: 39,075.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,975.96 : 70,344.42 = 28,316.40 : x
  2. Step 2: Convert to fraction form
    50,975.96/70,344.42 = 28,316.40/x
  3. Step 3: Cross multiply
    50,975.96x = 70,344.42 × 28,316.40
  4. Step 4: Simplify right side
    50,975.96x = 1,991,900,734.49
  5. Step 5: Solve for x
    x = 1,991,900,734.49/50,975.96
  6. Step 6: Final answer
    x = 39,075.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.