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Finding the Fourth Proportional to 228,991.71, 316,164.42 and 142,984.29

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Solution

The fourth proportional to 228,991.71, 316,164.42 and 142,984.29 is: 197,415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,991.71 : 316,164.42 = 142,984.29 : x
  2. Step 2: Convert to fraction form
    228,991.71/316,164.42 = 142,984.29/x
  3. Step 3: Cross multiply
    228,991.71x = 316,164.42 × 142,984.29
  4. Step 4: Simplify right side
    228,991.71x = 45,206,545,116.96
  5. Step 5: Solve for x
    x = 45,206,545,116.96/228,991.71
  6. Step 6: Final answer
    x = 197,415.64

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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.