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Finding the Fourth Proportional to 121,633.28, 182,502.48 and 65,407.67

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Solution

The fourth proportional to 121,633.28, 182,502.48 and 65,407.67 is: 98,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,633.28 : 182,502.48 = 65,407.67 : x
  2. Step 2: Convert to fraction form
    121,633.28/182,502.48 = 65,407.67/x
  3. Step 3: Cross multiply
    121,633.28x = 182,502.48 × 65,407.67
  4. Step 4: Simplify right side
    121,633.28x = 11,937,061,986.02
  5. Step 5: Solve for x
    x = 11,937,061,986.02/121,633.28
  6. Step 6: Final answer
    x = 98,139.77

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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.