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Finding the Fourth Proportional to 136,541.41, 188,349.97 and 85,465.47

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Solution

The fourth proportional to 136,541.41, 188,349.97 and 85,465.47 is: 117,894.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,541.41 : 188,349.97 = 85,465.47 : x
  2. Step 2: Convert to fraction form
    136,541.41/188,349.97 = 85,465.47/x
  3. Step 3: Cross multiply
    136,541.41x = 188,349.97 × 85,465.47
  4. Step 4: Simplify right side
    136,541.41x = 16,097,418,710.54
  5. Step 5: Solve for x
    x = 16,097,418,710.54/136,541.41
  6. Step 6: Final answer
    x = 117,894.04

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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.