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Finding the Fourth Proportional to 31,978,745.52, 47,968,126.74 and 8,953,071.57

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Solution

The fourth proportional to 31,978,745.52, 47,968,126.74 and 8,953,071.57 is: 13,429,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978,745.52 : 47,968,126.74 = 8,953,071.57 : x
  2. Step 2: Convert to fraction form
    31,978,745.52/47,968,126.74 = 8,953,071.57/x
  3. Step 3: Cross multiply
    31,978,745.52x = 47,968,126.74 × 8,953,071.57
  4. Step 4: Simplify right side
    31,978,745.52x = 429,462,071,782,050.81
  5. Step 5: Solve for x
    x = 429,462,071,782,050.81/31,978,745.52
  6. Step 6: Final answer
    x = 13,429,609.72

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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.