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Finding the Fourth Proportional to 145,541.92, 200,877.71 and 85,127.41

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Solution

The fourth proportional to 145,541.92, 200,877.71 and 85,127.41 is: 117,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,541.92 : 200,877.71 = 85,127.41 : x
  2. Step 2: Convert to fraction form
    145,541.92/200,877.71 = 85,127.41/x
  3. Step 3: Cross multiply
    145,541.92x = 200,877.71 × 85,127.41
  4. Step 4: Simplify right side
    145,541.92x = 17,100,199,179.03
  5. Step 5: Solve for x
    x = 17,100,199,179.03/145,541.92
  6. Step 6: Final answer
    x = 117,493.29

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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.