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Finding the Fourth Proportional to 86,874.80, 130,066.47 and 55,206.37

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Solution

The fourth proportional to 86,874.80, 130,066.47 and 55,206.37 is: 82,653.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,874.80 : 130,066.47 = 55,206.37 : x
  2. Step 2: Convert to fraction form
    86,874.80/130,066.47 = 55,206.37/x
  3. Step 3: Cross multiply
    86,874.80x = 130,066.47 × 55,206.37
  4. Step 4: Simplify right side
    86,874.80x = 7,180,497,342.25
  5. Step 5: Solve for x
    x = 7,180,497,342.25/86,874.80
  6. Step 6: Final answer
    x = 82,653.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.