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Finding the Fourth Proportional to 218,575.36, 301,683.12 and 143,080

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Solution

The fourth proportional to 218,575.36, 301,683.12 and 143,080 is: 197,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,575.36 : 301,683.12 = 143,080 : x
  2. Step 2: Convert to fraction form
    218,575.36/301,683.12 = 143,080/x
  3. Step 3: Cross multiply
    218,575.36x = 301,683.12 × 143,080
  4. Step 4: Simplify right side
    218,575.36x = 43,164,820,809.60
  5. Step 5: Solve for x
    x = 43,164,820,809.60/218,575.36
  6. Step 6: Final answer
    x = 197,482.56

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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.