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Finding the Fourth Proportional to 102,992.90, 154,511.42 and 31,913.98

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Solution

The fourth proportional to 102,992.90, 154,511.42 and 31,913.98 is: 47,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,992.90 : 154,511.42 = 31,913.98 : x
  2. Step 2: Convert to fraction form
    102,992.90/154,511.42 = 31,913.98/x
  3. Step 3: Cross multiply
    102,992.90x = 154,511.42 × 31,913.98
  4. Step 4: Simplify right side
    102,992.90x = 4,931,073,821.80
  5. Step 5: Solve for x
    x = 4,931,073,821.80/102,992.90
  6. Step 6: Final answer
    x = 47,877.81

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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.