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Finding the Fourth Proportional to 149,782.70, 206,650.34 and 98,820.74

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Solution

The fourth proportional to 149,782.70, 206,650.34 and 98,820.74 is: 136,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,782.70 : 206,650.34 = 98,820.74 : x
  2. Step 2: Convert to fraction form
    149,782.70/206,650.34 = 98,820.74/x
  3. Step 3: Cross multiply
    149,782.70x = 206,650.34 × 98,820.74
  4. Step 4: Simplify right side
    149,782.70x = 20,421,339,913.15
  5. Step 5: Solve for x
    x = 20,421,339,913.15/149,782.70
  6. Step 6: Final answer
    x = 136,339.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.