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Finding the Fourth Proportional to 218,772.16, 301,905.84 and 118,170.16

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Solution

The fourth proportional to 218,772.16, 301,905.84 and 118,170.16 is: 163,074.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,772.16 : 301,905.84 = 118,170.16 : x
  2. Step 2: Convert to fraction form
    218,772.16/301,905.84 = 118,170.16/x
  3. Step 3: Cross multiply
    218,772.16x = 301,905.84 × 118,170.16
  4. Step 4: Simplify right side
    218,772.16x = 35,676,261,417.73
  5. Step 5: Solve for x
    x = 35,676,261,417.73/218,772.16
  6. Step 6: Final answer
    x = 163,074.96

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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.