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Finding the Fourth Proportional to 256,781.02, 385,336.78 and 138,533.98

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Solution

The fourth proportional to 256,781.02, 385,336.78 and 138,533.98 is: 207,890.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,781.02 : 385,336.78 = 138,533.98 : x
  2. Step 2: Convert to fraction form
    256,781.02/385,336.78 = 138,533.98/x
  3. Step 3: Cross multiply
    256,781.02x = 385,336.78 × 138,533.98
  4. Step 4: Simplify right side
    256,781.02x = 53,382,237,773.78
  5. Step 5: Solve for x
    x = 53,382,237,773.78/256,781.02
  6. Step 6: Final answer
    x = 207,890.12

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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.