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Finding the Fourth Proportional to 151,324, 208,833.60 and 84,256

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Solution

The fourth proportional to 151,324, 208,833.60 and 84,256 is: 116,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,324 : 208,833.60 = 84,256 : x
  2. Step 2: Convert to fraction form
    151,324/208,833.60 = 84,256/x
  3. Step 3: Cross multiply
    151,324x = 208,833.60 × 84,256
  4. Step 4: Simplify right side
    151,324x = 17,595,483,801.60
  5. Step 5: Solve for x
    x = 17,595,483,801.60/151,324
  6. Step 6: Final answer
    x = 116,276.89

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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.