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Finding the Fourth Proportional to 151,435.64, 208,974.53 and 86,858.80

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Solution

The fourth proportional to 151,435.64, 208,974.53 and 86,858.80 is: 119,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,435.64 : 208,974.53 = 86,858.80 : x
  2. Step 2: Convert to fraction form
    151,435.64/208,974.53 = 86,858.80/x
  3. Step 3: Cross multiply
    151,435.64x = 208,974.53 × 86,858.80
  4. Step 4: Simplify right side
    151,435.64x = 18,151,276,601.07
  5. Step 5: Solve for x
    x = 18,151,276,601.07/151,435.64
  6. Step 6: Final answer
    x = 119,861.32

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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.