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Finding the Fourth Proportional to 70,880.98, 97,820.16 and 39,049.87

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Solution

The fourth proportional to 70,880.98, 97,820.16 and 39,049.87 is: 53,891.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,880.98 : 97,820.16 = 39,049.87 : x
  2. Step 2: Convert to fraction form
    70,880.98/97,820.16 = 39,049.87/x
  3. Step 3: Cross multiply
    70,880.98x = 97,820.16 × 39,049.87
  4. Step 4: Simplify right side
    70,880.98x = 3,819,864,042.28
  5. Step 5: Solve for x
    x = 3,819,864,042.28/70,880.98
  6. Step 6: Final answer
    x = 53,891.25

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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.