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Finding the Fourth Proportional to 120,776.63, 180,351.64 and 98,633.93

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Solution

The fourth proportional to 120,776.63, 180,351.64 and 98,633.93 is: 147,286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,776.63 : 180,351.64 = 98,633.93 : x
  2. Step 2: Convert to fraction form
    120,776.63/180,351.64 = 98,633.93/x
  3. Step 3: Cross multiply
    120,776.63x = 180,351.64 × 98,633.93
  4. Step 4: Simplify right side
    120,776.63x = 17,788,790,541.98
  5. Step 5: Solve for x
    x = 17,788,790,541.98/120,776.63
  6. Step 6: Final answer
    x = 147,286.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.