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Finding the Fourth Proportional to 218,509.74, 301,542.57 and 123,016.62

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Solution

The fourth proportional to 218,509.74, 301,542.57 and 123,016.62 is: 169,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,509.74 : 301,542.57 = 123,016.62 : x
  2. Step 2: Convert to fraction form
    218,509.74/301,542.57 = 123,016.62/x
  3. Step 3: Cross multiply
    218,509.74x = 301,542.57 × 123,016.62
  4. Step 4: Simplify right side
    218,509.74x = 37,094,747,747.51
  5. Step 5: Solve for x
    x = 37,094,747,747.51/218,509.74
  6. Step 6: Final answer
    x = 169,762.45

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1.5x scale

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.