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Finding the Fourth Proportional to 98,641.20, 147,961.80 and 27,563.70

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Solution

The fourth proportional to 98,641.20, 147,961.80 and 27,563.70 is: 41,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,641.20 : 147,961.80 = 27,563.70 : x
  2. Step 2: Convert to fraction form
    98,641.20/147,961.80 = 27,563.70/x
  3. Step 3: Cross multiply
    98,641.20x = 147,961.80 × 27,563.70
  4. Step 4: Simplify right side
    98,641.20x = 4,078,374,666.66
  5. Step 5: Solve for x
    x = 4,078,374,666.66/98,641.20
  6. Step 6: Final answer
    x = 41,345.55

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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.