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Finding the Fourth Proportional to 100,866.90, 139,066.25 and 82,649.90

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Solution

The fourth proportional to 100,866.90, 139,066.25 and 82,649.90 is: 113,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,866.90 : 139,066.25 = 82,649.90 : x
  2. Step 2: Convert to fraction form
    100,866.90/139,066.25 = 82,649.90/x
  3. Step 3: Cross multiply
    100,866.90x = 139,066.25 × 82,649.90
  4. Step 4: Simplify right side
    100,866.90x = 11,493,810,547.29
  5. Step 5: Solve for x
    x = 11,493,810,547.29/100,866.90
  6. Step 6: Final answer
    x = 113,950.27

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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.