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Finding the Fourth Proportional to 153,709.56, 230,255.56 and 76,540.07

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Solution

The fourth proportional to 153,709.56, 230,255.56 and 76,540.07 is: 114,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,709.56 : 230,255.56 = 76,540.07 : x
  2. Step 2: Convert to fraction form
    153,709.56/230,255.56 = 76,540.07/x
  3. Step 3: Cross multiply
    153,709.56x = 230,255.56 × 76,540.07
  4. Step 4: Simplify right side
    153,709.56x = 17,623,775,913.30
  5. Step 5: Solve for x
    x = 17,623,775,913.30/153,709.56
  6. Step 6: Final answer
    x = 114,656.34

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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.