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Finding the Fourth Proportional to 254,157.42, 381,125.39 and 85,646.34

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Solution

The fourth proportional to 254,157.42, 381,125.39 and 85,646.34 is: 128,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,157.42 : 381,125.39 = 85,646.34 : x
  2. Step 2: Convert to fraction form
    254,157.42/381,125.39 = 85,646.34/x
  3. Step 3: Cross multiply
    254,157.42x = 381,125.39 × 85,646.34
  4. Step 4: Simplify right side
    254,157.42x = 32,641,994,734.57
  5. Step 5: Solve for x
    x = 32,641,994,734.57/254,157.42
  6. Step 6: Final answer
    x = 128,432.19

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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.