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Finding the Fourth Proportional to 100,834.88, 139,149.68 and 55,512.50

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Solution

The fourth proportional to 100,834.88, 139,149.68 and 55,512.50 is: 76,605.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,834.88 : 139,149.68 = 55,512.50 : x
  2. Step 2: Convert to fraction form
    100,834.88/139,149.68 = 55,512.50/x
  3. Step 3: Cross multiply
    100,834.88x = 139,149.68 × 55,512.50
  4. Step 4: Simplify right side
    100,834.88x = 7,724,545,637.69
  5. Step 5: Solve for x
    x = 7,724,545,637.69/100,834.88
  6. Step 6: Final answer
    x = 76,605.89

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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.