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Finding the Fourth Proportional to 118,989.74, 164,204.89 and 64,541.77

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Solution

The fourth proportional to 118,989.74, 164,204.89 and 64,541.77 is: 89,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,989.74 : 164,204.89 = 64,541.77 : x
  2. Step 2: Convert to fraction form
    118,989.74/164,204.89 = 64,541.77/x
  3. Step 3: Cross multiply
    118,989.74x = 164,204.89 × 64,541.77
  4. Step 4: Simplify right side
    118,989.74x = 10,598,074,653.77
  5. Step 5: Solve for x
    x = 10,598,074,653.77/118,989.74
  6. Step 6: Final answer
    x = 89,067.13

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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.