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Finding the Fourth Proportional to 230,258, 345,371.16 and 141,525.20

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Solution

The fourth proportional to 230,258, 345,371.16 and 141,525.20 is: 212,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,258 : 345,371.16 = 141,525.20 : x
  2. Step 2: Convert to fraction form
    230,258/345,371.16 = 141,525.20/x
  3. Step 3: Cross multiply
    230,258x = 345,371.16 × 141,525.20
  4. Step 4: Simplify right side
    230,258x = 48,878,722,493.23
  5. Step 5: Solve for x
    x = 48,878,722,493.23/230,258
  6. Step 6: Final answer
    x = 212,278.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.