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Finding the Fourth Proportional to 100,756, 139,044.09 and 56,044

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Solution

The fourth proportional to 100,756, 139,044.09 and 56,044 is: 77,341.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,756 : 139,044.09 = 56,044 : x
  2. Step 2: Convert to fraction form
    100,756/139,044.09 = 56,044/x
  3. Step 3: Cross multiply
    100,756x = 139,044.09 × 56,044
  4. Step 4: Simplify right side
    100,756x = 7,792,586,979.96
  5. Step 5: Solve for x
    x = 7,792,586,979.96/100,756
  6. Step 6: Final answer
    x = 77,341.17

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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.