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Finding the Fourth Proportional to 71,378, 98,501.64 and 43,083.68

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Solution

The fourth proportional to 71,378, 98,501.64 and 43,083.68 is: 59,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,378 : 98,501.64 = 43,083.68 : x
  2. Step 2: Convert to fraction form
    71,378/98,501.64 = 43,083.68/x
  3. Step 3: Cross multiply
    71,378x = 98,501.64 × 43,083.68
  4. Step 4: Simplify right side
    71,378x = 4,243,813,137.24
  5. Step 5: Solve for x
    x = 4,243,813,137.24/71,378
  6. Step 6: Final answer
    x = 59,455.48

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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.