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Finding the Fourth Proportional to 121,459.31, 167,527.09 and 105,297.74

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Solution

The fourth proportional to 121,459.31, 167,527.09 and 105,297.74 is: 145,235.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,459.31 : 167,527.09 = 105,297.74 : x
  2. Step 2: Convert to fraction form
    121,459.31/167,527.09 = 105,297.74/x
  3. Step 3: Cross multiply
    121,459.31x = 167,527.09 × 105,297.74
  4. Step 4: Simplify right side
    121,459.31x = 17,640,223,965.78
  5. Step 5: Solve for x
    x = 17,640,223,965.78/121,459.31
  6. Step 6: Final answer
    x = 145,235.67

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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.