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Finding the Fourth Proportional to 257,041.06, 385,499.49 and 99,168.82

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Solution

The fourth proportional to 257,041.06, 385,499.49 and 99,168.82 is: 148,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,041.06 : 385,499.49 = 99,168.82 : x
  2. Step 2: Convert to fraction form
    257,041.06/385,499.49 = 99,168.82/x
  3. Step 3: Cross multiply
    257,041.06x = 385,499.49 × 99,168.82
  4. Step 4: Simplify right side
    257,041.06x = 38,229,529,533.90
  5. Step 5: Solve for x
    x = 38,229,529,533.90/257,041.06
  6. Step 6: Final answer
    x = 148,729.27

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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.