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Finding the Fourth Proportional to 102,186.50, 141,048.63 and 65,887.97

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Solution

The fourth proportional to 102,186.50, 141,048.63 and 65,887.97 is: 90,945.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186.50 : 141,048.63 = 65,887.97 : x
  2. Step 2: Convert to fraction form
    102,186.50/141,048.63 = 65,887.97/x
  3. Step 3: Cross multiply
    102,186.50x = 141,048.63 × 65,887.97
  4. Step 4: Simplify right side
    102,186.50x = 9,293,407,196.74
  5. Step 5: Solve for x
    x = 9,293,407,196.74/102,186.50
  6. Step 6: Final answer
    x = 90,945.55

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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.