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Finding the Fourth Proportional to 102,960, 142,087.17 and 57,636.84

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Solution

The fourth proportional to 102,960, 142,087.17 and 57,636.84 is: 79,540.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,960 : 142,087.17 = 57,636.84 : x
  2. Step 2: Convert to fraction form
    102,960/142,087.17 = 57,636.84/x
  3. Step 3: Cross multiply
    102,960x = 142,087.17 × 57,636.84
  4. Step 4: Simplify right side
    102,960x = 8,189,455,483.34
  5. Step 5: Solve for x
    x = 8,189,455,483.34/102,960
  6. Step 6: Final answer
    x = 79,540.17

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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.