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Finding the Fourth Proportional to 116,689.76, 161,080.64 and 78,985.88

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Solution

The fourth proportional to 116,689.76, 161,080.64 and 78,985.88 is: 109,033.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,689.76 : 161,080.64 = 78,985.88 : x
  2. Step 2: Convert to fraction form
    116,689.76/161,080.64 = 78,985.88/x
  3. Step 3: Cross multiply
    116,689.76x = 161,080.64 × 78,985.88
  4. Step 4: Simplify right side
    116,689.76x = 12,723,096,101.36
  5. Step 5: Solve for x
    x = 12,723,096,101.36/116,689.76
  6. Step 6: Final answer
    x = 109,033.53

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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.