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Finding the Fourth Proportional to 71,069.79, 98,075.70 and 39,238

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Solution

The fourth proportional to 71,069.79, 98,075.70 and 39,238 is: 54,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,069.79 : 98,075.70 = 39,238 : x
  2. Step 2: Convert to fraction form
    71,069.79/98,075.70 = 39,238/x
  3. Step 3: Cross multiply
    71,069.79x = 98,075.70 × 39,238
  4. Step 4: Simplify right side
    71,069.79x = 3,848,294,316.60
  5. Step 5: Solve for x
    x = 3,848,294,316.60/71,069.79
  6. Step 6: Final answer
    x = 54,148.10

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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.