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Finding the Fourth Proportional to 98,420, 147,408.04 and 45,718.58

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Solution

The fourth proportional to 98,420, 147,408.04 and 45,718.58 is: 68,474.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,420 : 147,408.04 = 45,718.58 : x
  2. Step 2: Convert to fraction form
    98,420/147,408.04 = 45,718.58/x
  3. Step 3: Cross multiply
    98,420x = 147,408.04 × 45,718.58
  4. Step 4: Simplify right side
    98,420x = 6,739,286,269.38
  5. Step 5: Solve for x
    x = 6,739,286,269.38/98,420
  6. Step 6: Final answer
    x = 68,474.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.