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Finding the Fourth Proportional to 98,137.88, 147,186.18 and 31,583.96

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Solution

The fourth proportional to 98,137.88, 147,186.18 and 31,583.96 is: 47,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,137.88 : 147,186.18 = 31,583.96 : x
  2. Step 2: Convert to fraction form
    98,137.88/147,186.18 = 31,583.96/x
  3. Step 3: Cross multiply
    98,137.88x = 147,186.18 × 31,583.96
  4. Step 4: Simplify right side
    98,137.88x = 4,648,722,421.67
  5. Step 5: Solve for x
    x = 4,648,722,421.67/98,137.88
  6. Step 6: Final answer
    x = 47,369.30

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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.