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Finding the Fourth Proportional to 82,861.04, 114,351 and 45,138.80

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Solution

The fourth proportional to 82,861.04, 114,351 and 45,138.80 is: 62,293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,861.04 : 114,351 = 45,138.80 : x
  2. Step 2: Convert to fraction form
    82,861.04/114,351 = 45,138.80/x
  3. Step 3: Cross multiply
    82,861.04x = 114,351 × 45,138.80
  4. Step 4: Simplify right side
    82,861.04x = 5,161,666,918.80
  5. Step 5: Solve for x
    x = 5,161,666,918.80/82,861.04
  6. Step 6: Final answer
    x = 62,293.05

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1.5x scale

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.