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Finding the Fourth Proportional to 93,175.13, 128,427.80 and 65,916

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Solution

The fourth proportional to 93,175.13, 128,427.80 and 65,916 is: 90,855.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,175.13 : 128,427.80 = 65,916 : x
  2. Step 2: Convert to fraction form
    93,175.13/128,427.80 = 65,916/x
  3. Step 3: Cross multiply
    93,175.13x = 128,427.80 × 65,916
  4. Step 4: Simplify right side
    93,175.13x = 8,465,446,535.22
  5. Step 5: Solve for x
    x = 8,465,446,535.22/93,175.13
  6. Step 6: Final answer
    x = 90,855.21

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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.