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Finding the Fourth Proportional to 118,507.56, 177,678.34 and 43,618.00

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Solution

The fourth proportional to 118,507.56, 177,678.34 and 43,618.00 is: 65,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,507.56 : 177,678.34 = 43,618.00 : x
  2. Step 2: Convert to fraction form
    118,507.56/177,678.34 = 43,618.00/x
  3. Step 3: Cross multiply
    118,507.56x = 177,678.34 × 43,618.00
  4. Step 4: Simplify right side
    118,507.56x = 7,749,973,444.45
  5. Step 5: Solve for x
    x = 7,749,973,444.45/118,507.56
  6. Step 6: Final answer
    x = 65,396.45

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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.