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Finding the Fourth Proportional to 228,800.02, 315,764.85 and 138,200.98

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Solution

The fourth proportional to 228,800.02, 315,764.85 and 138,200.98 is: 190,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,800.02 : 315,764.85 = 138,200.98 : x
  2. Step 2: Convert to fraction form
    228,800.02/315,764.85 = 138,200.98/x
  3. Step 3: Cross multiply
    228,800.02x = 315,764.85 × 138,200.98
  4. Step 4: Simplify right side
    228,800.02x = 43,639,011,719.55
  5. Step 5: Solve for x
    x = 43,639,011,719.55/228,800.02
  6. Step 6: Final answer
    x = 190,729.93

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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.