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Finding the Fourth Proportional to 218,972.88, 302,237.63 and 123,534.94

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Solution

The fourth proportional to 218,972.88, 302,237.63 and 123,534.94 is: 170,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,972.88 : 302,237.63 = 123,534.94 : x
  2. Step 2: Convert to fraction form
    218,972.88/302,237.63 = 123,534.94/x
  3. Step 3: Cross multiply
    218,972.88x = 302,237.63 × 123,534.94
  4. Step 4: Simplify right side
    218,972.88x = 37,336,906,114.52
  5. Step 5: Solve for x
    x = 37,336,906,114.52/218,972.88
  6. Step 6: Final answer
    x = 170,509.27

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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.