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Finding the Fourth Proportional to 70,898.54, 97,839.15 and 40,271.42

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Solution

The fourth proportional to 70,898.54, 97,839.15 and 40,271.42 is: 55,574.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,898.54 : 97,839.15 = 40,271.42 : x
  2. Step 2: Convert to fraction form
    70,898.54/97,839.15 = 40,271.42/x
  3. Step 3: Cross multiply
    70,898.54x = 97,839.15 × 40,271.42
  4. Step 4: Simplify right side
    70,898.54x = 3,940,121,012.90
  5. Step 5: Solve for x
    x = 3,940,121,012.90/70,898.54
  6. Step 6: Final answer
    x = 55,574.08

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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.