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Finding the Fourth Proportional to 158,430.80, 218,453.64 and 126,578

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Solution

The fourth proportional to 158,430.80, 218,453.64 and 126,578 is: 174,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,430.80 : 218,453.64 = 126,578 : x
  2. Step 2: Convert to fraction form
    158,430.80/218,453.64 = 126,578/x
  3. Step 3: Cross multiply
    158,430.80x = 218,453.64 × 126,578
  4. Step 4: Simplify right side
    158,430.80x = 27,651,424,843.92
  5. Step 5: Solve for x
    x = 27,651,424,843.92/158,430.80
  6. Step 6: Final answer
    x = 174,533.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.