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Finding the Fourth Proportional to 70,882.40, 97,821.06 and 40,257.74

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Solution

The fourth proportional to 70,882.40, 97,821.06 and 40,257.74 is: 55,557.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,882.40 : 97,821.06 = 40,257.74 : x
  2. Step 2: Convert to fraction form
    70,882.40/97,821.06 = 40,257.74/x
  3. Step 3: Cross multiply
    70,882.40x = 97,821.06 × 40,257.74
  4. Step 4: Simplify right side
    70,882.40x = 3,938,054,800.00
  5. Step 5: Solve for x
    x = 3,938,054,800.00/70,882.40
  6. Step 6: Final answer
    x = 55,557.58

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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.