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Finding the Fourth Proportional to 265,970.02, 399,167.62 and 137,922.69

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Solution

The fourth proportional to 265,970.02, 399,167.62 and 137,922.69 is: 206,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,970.02 : 399,167.62 = 137,922.69 : x
  2. Step 2: Convert to fraction form
    265,970.02/399,167.62 = 137,922.69/x
  3. Step 3: Cross multiply
    265,970.02x = 399,167.62 × 137,922.69
  4. Step 4: Simplify right side
    265,970.02x = 55,054,271,911.30
  5. Step 5: Solve for x
    x = 55,054,271,911.30/265,970.02
  6. Step 6: Final answer
    x = 206,994.28

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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.