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Finding the Fourth Proportional to 71,238, 98,307.36 and 50,857.68

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Solution

The fourth proportional to 71,238, 98,307.36 and 50,857.68 is: 70,182.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,238 : 98,307.36 = 50,857.68 : x
  2. Step 2: Convert to fraction form
    71,238/98,307.36 = 50,857.68/x
  3. Step 3: Cross multiply
    71,238x = 98,307.36 × 50,857.68
  4. Step 4: Simplify right side
    71,238x = 4,999,684,256.52
  5. Step 5: Solve for x
    x = 4,999,684,256.52/71,238
  6. Step 6: Final answer
    x = 70,182.83

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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.