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Finding the Fourth Proportional to 98,382.33, 146,806.14 and 87,779.45

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Solution

The fourth proportional to 98,382.33, 146,806.14 and 87,779.45 is: 130,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.33 : 146,806.14 = 87,779.45 : x
  2. Step 2: Convert to fraction form
    98,382.33/146,806.14 = 87,779.45/x
  3. Step 3: Cross multiply
    98,382.33x = 146,806.14 × 87,779.45
  4. Step 4: Simplify right side
    98,382.33x = 12,886,561,491.79
  5. Step 5: Solve for x
    x = 12,886,561,491.79/98,382.33
  6. Step 6: Final answer
    x = 130,984.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.