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Finding the Fourth Proportional to 216,001.16, 298,080.84 and 120,507.80

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Solution

The fourth proportional to 216,001.16, 298,080.84 and 120,507.80 is: 166,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,001.16 : 298,080.84 = 120,507.80 : x
  2. Step 2: Convert to fraction form
    216,001.16/298,080.84 = 120,507.80/x
  3. Step 3: Cross multiply
    216,001.16x = 298,080.84 × 120,507.80
  4. Step 4: Simplify right side
    216,001.16x = 35,921,066,250.55
  5. Step 5: Solve for x
    x = 35,921,066,250.55/216,001.16
  6. Step 6: Final answer
    x = 166,300.34

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