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Finding the Fourth Proportional to 142,161.63, 213,242.72 and 36,980.43

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Solution

The fourth proportional to 142,161.63, 213,242.72 and 36,980.43 is: 55,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,161.63 : 213,242.72 = 36,980.43 : x
  2. Step 2: Convert to fraction form
    142,161.63/213,242.72 = 36,980.43/x
  3. Step 3: Cross multiply
    142,161.63x = 213,242.72 × 36,980.43
  4. Step 4: Simplify right side
    142,161.63x = 7,885,807,295.07
  5. Step 5: Solve for x
    x = 7,885,807,295.07/142,161.63
  6. Step 6: Final answer
    x = 55,470.72

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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.