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Finding the Fourth Proportional to 228,425.94, 342,532.29 and 86,161.59

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Solution

The fourth proportional to 228,425.94, 342,532.29 and 86,161.59 is: 129,202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,425.94 : 342,532.29 = 86,161.59 : x
  2. Step 2: Convert to fraction form
    228,425.94/342,532.29 = 86,161.59/x
  3. Step 3: Cross multiply
    228,425.94x = 342,532.29 × 86,161.59
  4. Step 4: Simplify right side
    228,425.94x = 29,513,126,732.74
  5. Step 5: Solve for x
    x = 29,513,126,732.74/228,425.94
  6. Step 6: Final answer
    x = 129,202.17

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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.