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Finding the Fourth Proportional to 135,477.69, 186,951.20 and 74,211.69

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Solution

The fourth proportional to 135,477.69, 186,951.20 and 74,211.69 is: 102,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,477.69 : 186,951.20 = 74,211.69 : x
  2. Step 2: Convert to fraction form
    135,477.69/186,951.20 = 74,211.69/x
  3. Step 3: Cross multiply
    135,477.69x = 186,951.20 × 74,211.69
  4. Step 4: Simplify right side
    135,477.69x = 13,873,964,128.47
  5. Step 5: Solve for x
    x = 13,873,964,128.47/135,477.69
  6. Step 6: Final answer
    x = 102,407.74

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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.