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Finding the Fourth Proportional to 257,167.43, 385,987.93 and 130,897.90

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Solution

The fourth proportional to 257,167.43, 385,987.93 and 130,897.90 is: 196,467.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,167.43 : 385,987.93 = 130,897.90 : x
  2. Step 2: Convert to fraction form
    257,167.43/385,987.93 = 130,897.90/x
  3. Step 3: Cross multiply
    257,167.43x = 385,987.93 × 130,897.90
  4. Step 4: Simplify right side
    257,167.43x = 50,525,009,268.30
  5. Step 5: Solve for x
    x = 50,525,009,268.30/257,167.43
  6. Step 6: Final answer
    x = 196,467.37

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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.