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Finding the Fourth Proportional to 98,416.88, 147,648.72 and 31,857

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Solution

The fourth proportional to 98,416.88, 147,648.72 and 31,857 is: 47,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,416.88 : 147,648.72 = 31,857 : x
  2. Step 2: Convert to fraction form
    98,416.88/147,648.72 = 31,857/x
  3. Step 3: Cross multiply
    98,416.88x = 147,648.72 × 31,857
  4. Step 4: Simplify right side
    98,416.88x = 4,703,645,273.04
  5. Step 5: Solve for x
    x = 4,703,645,273.04/98,416.88
  6. Step 6: Final answer
    x = 47,793.07

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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.