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Finding the Fourth Proportional to 228,300.66, 315,056.59 and 137,638.58

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Solution

The fourth proportional to 228,300.66, 315,056.59 and 137,638.58 is: 189,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,300.66 : 315,056.59 = 137,638.58 : x
  2. Step 2: Convert to fraction form
    228,300.66/315,056.59 = 137,638.58/x
  3. Step 3: Cross multiply
    228,300.66x = 315,056.59 × 137,638.58
  4. Step 4: Simplify right side
    228,300.66x = 43,363,939,747.86
  5. Step 5: Solve for x
    x = 43,363,939,747.86/228,300.66
  6. Step 6: Final answer
    x = 189,942.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.