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Finding the Fourth Proportional to 104,395.71, 144,066.47 and 56,649.06

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Solution

The fourth proportional to 104,395.71, 144,066.47 and 56,649.06 is: 78,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,395.71 : 144,066.47 = 56,649.06 : x
  2. Step 2: Convert to fraction form
    104,395.71/144,066.47 = 56,649.06/x
  3. Step 3: Cross multiply
    104,395.71x = 144,066.47 × 56,649.06
  4. Step 4: Simplify right side
    104,395.71x = 8,161,229,819.77
  5. Step 5: Solve for x
    x = 8,161,229,819.77/104,395.71
  6. Step 6: Final answer
    x = 78,175.91

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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.