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Finding the Fourth Proportional to 102,164.59, 140,984.44 and 56,842.66

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Solution

The fourth proportional to 102,164.59, 140,984.44 and 56,842.66 is: 78,441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.59 : 140,984.44 = 56,842.66 : x
  2. Step 2: Convert to fraction form
    102,164.59/140,984.44 = 56,842.66/x
  3. Step 3: Cross multiply
    102,164.59x = 140,984.44 × 56,842.66
  4. Step 4: Simplify right side
    102,164.59x = 8,013,930,588.21
  5. Step 5: Solve for x
    x = 8,013,930,588.21/102,164.59
  6. Step 6: Final answer
    x = 78,441.37

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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.