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Finding the Fourth Proportional to 186,142.86, 279,172.17 and 53,020.17

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Solution

The fourth proportional to 186,142.86, 279,172.17 and 53,020.17 is: 79,518.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,142.86 : 279,172.17 = 53,020.17 : x
  2. Step 2: Convert to fraction form
    186,142.86/279,172.17 = 53,020.17/x
  3. Step 3: Cross multiply
    186,142.86x = 279,172.17 × 53,020.17
  4. Step 4: Simplify right side
    186,142.86x = 14,801,755,912.67
  5. Step 5: Solve for x
    x = 14,801,755,912.67/186,142.86
  6. Step 6: Final answer
    x = 79,518.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.