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Finding the Fourth Proportional to 98,676.76, 148,033.40 and 31,225.78

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Solution

The fourth proportional to 98,676.76, 148,033.40 and 31,225.78 is: 46,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,676.76 : 148,033.40 = 31,225.78 : x
  2. Step 2: Convert to fraction form
    98,676.76/148,033.40 = 31,225.78/x
  3. Step 3: Cross multiply
    98,676.76x = 148,033.40 × 31,225.78
  4. Step 4: Simplify right side
    98,676.76x = 4,622,458,381.05
  5. Step 5: Solve for x
    x = 4,622,458,381.05/98,676.76
  6. Step 6: Final answer
    x = 46,844.45

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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.