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Finding the Fourth Proportional to 98,255.74, 147,412.30 and 31,694.40

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Solution

The fourth proportional to 98,255.74, 147,412.30 and 31,694.40 is: 47,550.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,255.74 : 147,412.30 = 31,694.40 : x
  2. Step 2: Convert to fraction form
    98,255.74/147,412.30 = 31,694.40/x
  3. Step 3: Cross multiply
    98,255.74x = 147,412.30 × 31,694.40
  4. Step 4: Simplify right side
    98,255.74x = 4,672,144,401.12
  5. Step 5: Solve for x
    x = 4,672,144,401.12/98,255.74
  6. Step 6: Final answer
    x = 47,550.85

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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.