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Finding the Fourth Proportional to 218,824, 301,977.30 and 118,222

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Solution

The fourth proportional to 218,824, 301,977.30 and 118,222 is: 163,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,824 : 301,977.30 = 118,222 : x
  2. Step 2: Convert to fraction form
    218,824/301,977.30 = 118,222/x
  3. Step 3: Cross multiply
    218,824x = 301,977.30 × 118,222
  4. Step 4: Simplify right side
    218,824x = 35,700,360,360.60
  5. Step 5: Solve for x
    x = 35,700,360,360.60/218,824
  6. Step 6: Final answer
    x = 163,146.46

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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.