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Finding the Fourth Proportional to 228,737.80, 343,139.82 and 70,978.96

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Solution

The fourth proportional to 228,737.80, 343,139.82 and 70,978.96 is: 106,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,737.80 : 343,139.82 = 70,978.96 : x
  2. Step 2: Convert to fraction form
    228,737.80/343,139.82 = 70,978.96/x
  3. Step 3: Cross multiply
    228,737.80x = 343,139.82 × 70,978.96
  4. Step 4: Simplify right side
    228,737.80x = 24,355,707,558.19
  5. Step 5: Solve for x
    x = 24,355,707,558.19/228,737.80
  6. Step 6: Final answer
    x = 106,478.72

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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.