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Finding the Fourth Proportional to 254,113.80, 381,205.86 and 85,682.34

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Solution

The fourth proportional to 254,113.80, 381,205.86 and 85,682.34 is: 128,535.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,113.80 : 381,205.86 = 85,682.34 : x
  2. Step 2: Convert to fraction form
    254,113.80/381,205.86 = 85,682.34/x
  3. Step 3: Cross multiply
    254,113.80x = 381,205.86 × 85,682.34
  4. Step 4: Simplify right side
    254,113.80x = 32,662,610,106.51
  5. Step 5: Solve for x
    x = 32,662,610,106.51/254,113.80
  6. Step 6: Final answer
    x = 128,535.37

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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.