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Finding the Fourth Proportional to 151,054.37, 208,459.68 and 83,078.31

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Solution

The fourth proportional to 151,054.37, 208,459.68 and 83,078.31 is: 114,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,054.37 : 208,459.68 = 83,078.31 : x
  2. Step 2: Convert to fraction form
    151,054.37/208,459.68 = 83,078.31/x
  3. Step 3: Cross multiply
    151,054.37x = 208,459.68 × 83,078.31
  4. Step 4: Simplify right side
    151,054.37x = 17,318,477,215.14
  5. Step 5: Solve for x
    x = 17,318,477,215.14/151,054.37
  6. Step 6: Final answer
    x = 114,650.62

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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.