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Finding the Fourth Proportional to 103,029.40, 154,544.10 and 31,951.90

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Solution

The fourth proportional to 103,029.40, 154,544.10 and 31,951.90 is: 47,927.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,029.40 : 154,544.10 = 31,951.90 : x
  2. Step 2: Convert to fraction form
    103,029.40/154,544.10 = 31,951.90/x
  3. Step 3: Cross multiply
    103,029.40x = 154,544.10 × 31,951.90
  4. Step 4: Simplify right side
    103,029.40x = 4,937,977,628.79
  5. Step 5: Solve for x
    x = 4,937,977,628.79/103,029.40
  6. Step 6: Final answer
    x = 47,927.85

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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.