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Finding the Fourth Proportional to 142,417, 213,628.38 and 43,921

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Solution

The fourth proportional to 142,417, 213,628.38 and 43,921 is: 65,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,417 : 213,628.38 = 43,921 : x
  2. Step 2: Convert to fraction form
    142,417/213,628.38 = 43,921/x
  3. Step 3: Cross multiply
    142,417x = 213,628.38 × 43,921
  4. Step 4: Simplify right side
    142,417x = 9,382,772,077.98
  5. Step 5: Solve for x
    x = 9,382,772,077.98/142,417
  6. Step 6: Final answer
    x = 65,882.39

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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.