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Finding the Fourth Proportional to 254,002.55, 380,737.10 and 85,464.36

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Solution

The fourth proportional to 254,002.55, 380,737.10 and 85,464.36 is: 128,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,002.55 : 380,737.10 = 85,464.36 : x
  2. Step 2: Convert to fraction form
    254,002.55/380,737.10 = 85,464.36/x
  3. Step 3: Cross multiply
    254,002.55x = 380,737.10 × 85,464.36
  4. Step 4: Simplify right side
    254,002.55x = 32,539,452,152.43
  5. Step 5: Solve for x
    x = 32,539,452,152.43/254,002.55
  6. Step 6: Final answer
    x = 128,106.80

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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.