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Finding the Fourth Proportional to 186,988.50, 258,045.50 and 102,105.56

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Solution

The fourth proportional to 186,988.50, 258,045.50 and 102,105.56 is: 140,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,988.50 : 258,045.50 = 102,105.56 : x
  2. Step 2: Convert to fraction form
    186,988.50/258,045.50 = 102,105.56/x
  3. Step 3: Cross multiply
    186,988.50x = 258,045.50 × 102,105.56
  4. Step 4: Simplify right side
    186,988.50x = 26,347,880,609.01
  5. Step 5: Solve for x
    x = 26,347,880,609.01/186,988.50
  6. Step 6: Final answer
    x = 140,906.42

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1.5x scale

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.