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Finding the Fourth Proportional to 105,811.74, 146,019.76 and 58,065.88

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Solution

The fourth proportional to 105,811.74, 146,019.76 and 58,065.88 is: 80,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,811.74 : 146,019.76 = 58,065.88 : x
  2. Step 2: Convert to fraction form
    105,811.74/146,019.76 = 58,065.88/x
  3. Step 3: Cross multiply
    105,811.74x = 146,019.76 × 58,065.88
  4. Step 4: Simplify right side
    105,811.74x = 8,478,765,861.79
  5. Step 5: Solve for x
    x = 8,478,765,861.79/105,811.74
  6. Step 6: Final answer
    x = 80,130.67

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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.