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Finding the Fourth Proportional to 116,649.45, 160,934.14 and 76,386.17

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Solution

The fourth proportional to 116,649.45, 160,934.14 and 76,386.17 is: 105,385.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,649.45 : 160,934.14 = 76,386.17 : x
  2. Step 2: Convert to fraction form
    116,649.45/160,934.14 = 76,386.17/x
  3. Step 3: Cross multiply
    116,649.45x = 160,934.14 × 76,386.17
  4. Step 4: Simplify right side
    116,649.45x = 12,293,143,074.66
  5. Step 5: Solve for x
    x = 12,293,143,074.66/116,649.45
  6. Step 6: Final answer
    x = 105,385.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.