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Finding the Fourth Proportional to 102,959.91, 142,087.64 and 57,637.64

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Solution

The fourth proportional to 102,959.91, 142,087.64 and 57,637.64 is: 79,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,959.91 : 142,087.64 = 57,637.64 : x
  2. Step 2: Convert to fraction form
    102,959.91/142,087.64 = 57,637.64/x
  3. Step 3: Cross multiply
    102,959.91x = 142,087.64 × 57,637.64
  4. Step 4: Simplify right side
    102,959.91x = 8,189,595,244.14
  5. Step 5: Solve for x
    x = 8,189,595,244.14/102,959.91
  6. Step 6: Final answer
    x = 79,541.59

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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.