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Finding the Fourth Proportional to 82,971.90, 114,510.05 and 50,725.40

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Solution

The fourth proportional to 82,971.90, 114,510.05 and 50,725.40 is: 70,006.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,971.90 : 114,510.05 = 50,725.40 : x
  2. Step 2: Convert to fraction form
    82,971.90/114,510.05 = 50,725.40/x
  3. Step 3: Cross multiply
    82,971.90x = 114,510.05 × 50,725.40
  4. Step 4: Simplify right side
    82,971.90x = 5,808,568,090.27
  5. Step 5: Solve for x
    x = 5,808,568,090.27/82,971.90
  6. Step 6: Final answer
    x = 70,006.45

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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.