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Finding the Fourth Proportional to 145,048.77, 217,659.42 and 78,487.56

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Solution

The fourth proportional to 145,048.77, 217,659.42 and 78,487.56 is: 117,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,048.77 : 217,659.42 = 78,487.56 : x
  2. Step 2: Convert to fraction form
    145,048.77/217,659.42 = 78,487.56/x
  3. Step 3: Cross multiply
    145,048.77x = 217,659.42 × 78,487.56
  4. Step 4: Simplify right side
    145,048.77x = 17,083,556,786.82
  5. Step 5: Solve for x
    x = 17,083,556,786.82/145,048.77
  6. Step 6: Final answer
    x = 117,778.02

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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.