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Finding the Fourth Proportional to 151,100, 208,518 and 84,032

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Solution

The fourth proportional to 151,100, 208,518 and 84,032 is: 115,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,100 : 208,518 = 84,032 : x
  2. Step 2: Convert to fraction form
    151,100/208,518 = 84,032/x
  3. Step 3: Cross multiply
    151,100x = 208,518 × 84,032
  4. Step 4: Simplify right side
    151,100x = 17,522,184,576
  5. Step 5: Solve for x
    x = 17,522,184,576/151,100
  6. Step 6: Final answer
    x = 115,964.16

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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.