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Finding the Fourth Proportional to 228,071.16, 342,120.78 and 87,829.92

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Solution

The fourth proportional to 228,071.16, 342,120.78 and 87,829.92 is: 131,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,071.16 : 342,120.78 = 87,829.92 : x
  2. Step 2: Convert to fraction form
    228,071.16/342,120.78 = 87,829.92/x
  3. Step 3: Cross multiply
    228,071.16x = 342,120.78 × 87,829.92
  4. Step 4: Simplify right side
    228,071.16x = 30,048,440,737.74
  5. Step 5: Solve for x
    x = 30,048,440,737.74/228,071.16
  6. Step 6: Final answer
    x = 131,750.29

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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.