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Finding the Fourth Proportional to 71,140.95, 98,165.52 and 39,309.98

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Solution

The fourth proportional to 71,140.95, 98,165.52 and 39,309.98 is: 54,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,140.95 : 98,165.52 = 39,309.98 : x
  2. Step 2: Convert to fraction form
    71,140.95/98,165.52 = 39,309.98/x
  3. Step 3: Cross multiply
    71,140.95x = 98,165.52 × 39,309.98
  4. Step 4: Simplify right side
    71,140.95x = 3,858,884,137.06
  5. Step 5: Solve for x
    x = 3,858,884,137.06/71,140.95
  6. Step 6: Final answer
    x = 54,242.80

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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.