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Finding the Fourth Proportional to 228,701.64, 315,762.28 and 142,791.42

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Solution

The fourth proportional to 228,701.64, 315,762.28 and 142,791.42 is: 197,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,701.64 : 315,762.28 = 142,791.42 : x
  2. Step 2: Convert to fraction form
    228,701.64/315,762.28 = 142,791.42/x
  3. Step 3: Cross multiply
    228,701.64x = 315,762.28 × 142,791.42
  4. Step 4: Simplify right side
    228,701.64x = 45,088,144,343.64
  5. Step 5: Solve for x
    x = 45,088,144,343.64/228,701.64
  6. Step 6: Final answer
    x = 197,148.32

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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.