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Finding the Fourth Proportional to 151,230.08, 208,695.48 and 84,162.08

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Solution

The fourth proportional to 151,230.08, 208,695.48 and 84,162.08 is: 116,142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,230.08 : 208,695.48 = 84,162.08 : x
  2. Step 2: Convert to fraction form
    151,230.08/208,695.48 = 84,162.08/x
  3. Step 3: Cross multiply
    151,230.08x = 208,695.48 × 84,162.08
  4. Step 4: Simplify right side
    151,230.08x = 17,564,245,683.40
  5. Step 5: Solve for x
    x = 17,564,245,683.40/151,230.08
  6. Step 6: Final answer
    x = 116,142.54

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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.