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Finding the Fourth Proportional to 98,161.78, 147,256.59 and 31,586.44

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Solution

The fourth proportional to 98,161.78, 147,256.59 and 31,586.44 is: 47,384.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,161.78 : 147,256.59 = 31,586.44 : x
  2. Step 2: Convert to fraction form
    98,161.78/147,256.59 = 31,586.44/x
  3. Step 3: Cross multiply
    98,161.78x = 147,256.59 × 31,586.44
  4. Step 4: Simplify right side
    98,161.78x = 4,651,311,444.64
  5. Step 5: Solve for x
    x = 4,651,311,444.64/98,161.78
  6. Step 6: Final answer
    x = 47,384.14

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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.