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Finding the Fourth Proportional to 98,382.12, 147,372 and 48,305.31

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Solution

The fourth proportional to 98,382.12, 147,372 and 48,305.31 is: 72,359.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,382.12 : 147,372 = 48,305.31 : x
  2. Step 2: Convert to fraction form
    98,382.12/147,372 = 48,305.31/x
  3. Step 3: Cross multiply
    98,382.12x = 147,372 × 48,305.31
  4. Step 4: Simplify right side
    98,382.12x = 7,118,850,145.32
  5. Step 5: Solve for x
    x = 7,118,850,145.32/98,382.12
  6. Step 6: Final answer
    x = 72,359.19

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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.