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Finding the Fourth Proportional to 151,436.79, 208,992.02 and 83,453.76

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Solution

The fourth proportional to 151,436.79, 208,992.02 and 83,453.76 is: 115,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,436.79 : 208,992.02 = 83,453.76 : x
  2. Step 2: Convert to fraction form
    151,436.79/208,992.02 = 83,453.76/x
  3. Step 3: Cross multiply
    151,436.79x = 208,992.02 × 83,453.76
  4. Step 4: Simplify right side
    151,436.79x = 17,441,169,461.73
  5. Step 5: Solve for x
    x = 17,441,169,461.73/151,436.79
  6. Step 6: Final answer
    x = 115,171.28

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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.