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Finding the Fourth Proportional to 17,978,475.06, 26,968,499.55 and 5,200,271.46

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Solution

The fourth proportional to 17,978,475.06, 26,968,499.55 and 5,200,271.46 is: 7,800,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978,475.06 : 26,968,499.55 = 5,200,271.46 : x
  2. Step 2: Convert to fraction form
    17,978,475.06/26,968,499.55 = 5,200,271.46/x
  3. Step 3: Cross multiply
    17,978,475.06x = 26,968,499.55 × 5,200,271.46
  4. Step 4: Simplify right side
    17,978,475.06x = 140,243,518,528,887.84
  5. Step 5: Solve for x
    x = 140,243,518,528,887.84/17,978,475.06
  6. Step 6: Final answer
    x = 7,800,634.82

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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.