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Finding the Fourth Proportional to 256,101.60, 384,152.40 and 122,913.30

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Solution

The fourth proportional to 256,101.60, 384,152.40 and 122,913.30 is: 184,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,101.60 : 384,152.40 = 122,913.30 : x
  2. Step 2: Convert to fraction form
    256,101.60/384,152.40 = 122,913.30/x
  3. Step 3: Cross multiply
    256,101.60x = 384,152.40 × 122,913.30
  4. Step 4: Simplify right side
    256,101.60x = 47,217,439,186.92
  5. Step 5: Solve for x
    x = 47,217,439,186.92/256,101.60
  6. Step 6: Final answer
    x = 184,369.95

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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.