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Finding the Fourth Proportional to 135,829, 187,445.46 and 76,213

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Solution

The fourth proportional to 135,829, 187,445.46 and 76,213 is: 105,174.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,829 : 187,445.46 = 76,213 : x
  2. Step 2: Convert to fraction form
    135,829/187,445.46 = 76,213/x
  3. Step 3: Cross multiply
    135,829x = 187,445.46 × 76,213
  4. Step 4: Simplify right side
    135,829x = 14,285,780,842.98
  5. Step 5: Solve for x
    x = 14,285,780,842.98/135,829
  6. Step 6: Final answer
    x = 105,174.75

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1.5x scale

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.