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Finding the Fourth Proportional to 105,971.81, 146,204.92 and 65,670.86

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Solution

The fourth proportional to 105,971.81, 146,204.92 and 65,670.86 is: 90,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,971.81 : 146,204.92 = 65,670.86 : x
  2. Step 2: Convert to fraction form
    105,971.81/146,204.92 = 65,670.86/x
  3. Step 3: Cross multiply
    105,971.81x = 146,204.92 × 65,670.86
  4. Step 4: Simplify right side
    105,971.81x = 9,601,403,393.48
  5. Step 5: Solve for x
    x = 9,601,403,393.48/105,971.81
  6. Step 6: Final answer
    x = 90,603.38

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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.