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Finding the Fourth Proportional to 98,105.88, 147,160.20 and 27,985.19

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Solution

The fourth proportional to 98,105.88, 147,160.20 and 27,985.19 is: 41,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,105.88 : 147,160.20 = 27,985.19 : x
  2. Step 2: Convert to fraction form
    98,105.88/147,160.20 = 27,985.19/x
  3. Step 3: Cross multiply
    98,105.88x = 147,160.20 × 27,985.19
  4. Step 4: Simplify right side
    98,105.88x = 4,118,306,157.44
  5. Step 5: Solve for x
    x = 4,118,306,157.44/98,105.88
  6. Step 6: Final answer
    x = 41,978.18

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1.5x scale

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.