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Finding the Fourth Proportional to 77,084.96, 115,628.72 and 27,165.66

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Solution

The fourth proportional to 77,084.96, 115,628.72 and 27,165.66 is: 40,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,084.96 : 115,628.72 = 27,165.66 : x
  2. Step 2: Convert to fraction form
    77,084.96/115,628.72 = 27,165.66/x
  3. Step 3: Cross multiply
    77,084.96x = 115,628.72 × 27,165.66
  4. Step 4: Simplify right side
    77,084.96x = 3,141,130,493.76
  5. Step 5: Solve for x
    x = 3,141,130,493.76/77,084.96
  6. Step 6: Final answer
    x = 40,748.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.