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Finding the Fourth Proportional to 98,415.86, 147,647.23 and 31,856

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Solution

The fourth proportional to 98,415.86, 147,647.23 and 31,856 is: 47,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415.86 : 147,647.23 = 31,856 : x
  2. Step 2: Convert to fraction form
    98,415.86/147,647.23 = 31,856/x
  3. Step 3: Cross multiply
    98,415.86x = 147,647.23 × 31,856
  4. Step 4: Simplify right side
    98,415.86x = 4,703,450,158.88
  5. Step 5: Solve for x
    x = 4,703,450,158.88/98,415.86
  6. Step 6: Final answer
    x = 47,791.59

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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.