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Finding the Fourth Proportional to 186,991.34, 258,048.99 and 102,108.40

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Solution

The fourth proportional to 186,991.34, 258,048.99 and 102,108.40 is: 140,910.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,991.34 : 258,048.99 = 102,108.40 : x
  2. Step 2: Convert to fraction form
    186,991.34/258,048.99 = 102,108.40/x
  3. Step 3: Cross multiply
    186,991.34x = 258,048.99 × 102,108.40
  4. Step 4: Simplify right side
    186,991.34x = 26,348,968,845.39
  5. Step 5: Solve for x
    x = 26,348,968,845.39/186,991.34
  6. Step 6: Final answer
    x = 140,910.11

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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.