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Finding the Fourth Proportional to 106,686.50, 160,038 and 31,800.92

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Solution

The fourth proportional to 106,686.50, 160,038 and 31,800.92 is: 47,703.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,686.50 : 160,038 = 31,800.92 : x
  2. Step 2: Convert to fraction form
    106,686.50/160,038 = 31,800.92/x
  3. Step 3: Cross multiply
    106,686.50x = 160,038 × 31,800.92
  4. Step 4: Simplify right side
    106,686.50x = 5,089,354,834.77
  5. Step 5: Solve for x
    x = 5,089,354,834.77/106,686.50
  6. Step 6: Final answer
    x = 47,703.83

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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.