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Finding the Fourth Proportional to 150,807.12, 208,114.01 and 82,828.50

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Solution

The fourth proportional to 150,807.12, 208,114.01 and 82,828.50 is: 114,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,807.12 : 208,114.01 = 82,828.50 : x
  2. Step 2: Convert to fraction form
    150,807.12/208,114.01 = 82,828.50/x
  3. Step 3: Cross multiply
    150,807.12x = 208,114.01 × 82,828.50
  4. Step 4: Simplify right side
    150,807.12x = 17,237,771,277.29
  5. Step 5: Solve for x
    x = 17,237,771,277.29/150,807.12
  6. Step 6: Final answer
    x = 114,303.43

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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.