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Finding the Fourth Proportional to 256,126.79, 384,208.76 and 98,355.26

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Solution

The fourth proportional to 256,126.79, 384,208.76 and 98,355.26 is: 147,540.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,126.79 : 384,208.76 = 98,355.26 : x
  2. Step 2: Convert to fraction form
    256,126.79/384,208.76 = 98,355.26/x
  3. Step 3: Cross multiply
    256,126.79x = 384,208.76 × 98,355.26
  4. Step 4: Simplify right side
    256,126.79x = 37,788,953,690.49
  5. Step 5: Solve for x
    x = 37,788,953,690.49/256,126.79
  6. Step 6: Final answer
    x = 147,540.03

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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.