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Finding the Fourth Proportional to 116,677, 161,014.26 and 63,685

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Solution

The fourth proportional to 116,677, 161,014.26 and 63,685 is: 87,885.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,677 : 161,014.26 = 63,685 : x
  2. Step 2: Convert to fraction form
    116,677/161,014.26 = 63,685/x
  3. Step 3: Cross multiply
    116,677x = 161,014.26 × 63,685
  4. Step 4: Simplify right side
    116,677x = 10,254,193,148.10
  5. Step 5: Solve for x
    x = 10,254,193,148.10/116,677
  6. Step 6: Final answer
    x = 87,885.30

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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.