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Finding the Fourth Proportional to 98,411.30, 147,640.37 and 31,851.43

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Solution

The fourth proportional to 98,411.30, 147,640.37 and 31,851.43 is: 47,784.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411.30 : 147,640.37 = 31,851.43 : x
  2. Step 2: Convert to fraction form
    98,411.30/147,640.37 = 31,851.43/x
  3. Step 3: Cross multiply
    98,411.30x = 147,640.37 × 31,851.43
  4. Step 4: Simplify right side
    98,411.30x = 4,702,556,910.23
  5. Step 5: Solve for x
    x = 4,702,556,910.23/98,411.30
  6. Step 6: Final answer
    x = 47,784.73

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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.