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Finding the Fourth Proportional to 135,980.82, 186,988.05 and 118,044.45

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Solution

The fourth proportional to 135,980.82, 186,988.05 and 118,044.45 is: 162,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,980.82 : 186,988.05 = 118,044.45 : x
  2. Step 2: Convert to fraction form
    135,980.82/186,988.05 = 118,044.45/x
  3. Step 3: Cross multiply
    135,980.82x = 186,988.05 × 118,044.45
  4. Step 4: Simplify right side
    135,980.82x = 22,072,901,518.82
  5. Step 5: Solve for x
    x = 22,072,901,518.82/135,980.82
  6. Step 6: Final answer
    x = 162,323.64

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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.