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Finding the Fourth Proportional to 126,369.84, 174,388.05 and 69,780

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Solution

The fourth proportional to 126,369.84, 174,388.05 and 69,780 is: 96,295.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,369.84 : 174,388.05 = 69,780 : x
  2. Step 2: Convert to fraction form
    126,369.84/174,388.05 = 69,780/x
  3. Step 3: Cross multiply
    126,369.84x = 174,388.05 × 69,780
  4. Step 4: Simplify right side
    126,369.84x = 12,168,798,129
  5. Step 5: Solve for x
    x = 12,168,798,129/126,369.84
  6. Step 6: Final answer
    x = 96,295.11

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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.