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Finding the Fourth Proportional to 71,506.72, 98,678.01 and 39,675.07

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Solution

The fourth proportional to 71,506.72, 98,678.01 and 39,675.07 is: 54,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,506.72 : 98,678.01 = 39,675.07 : x
  2. Step 2: Convert to fraction form
    71,506.72/98,678.01 = 39,675.07/x
  3. Step 3: Cross multiply
    71,506.72x = 98,678.01 × 39,675.07
  4. Step 4: Simplify right side
    71,506.72x = 3,915,056,954.21
  5. Step 5: Solve for x
    x = 3,915,056,954.21/71,506.72
  6. Step 6: Final answer
    x = 54,750.90

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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.