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Finding the Fourth Proportional to 100,829, 139,144.02 and 56,127.56

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Solution

The fourth proportional to 100,829, 139,144.02 and 56,127.56 is: 77,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829 : 139,144.02 = 56,127.56 : x
  2. Step 2: Convert to fraction form
    100,829/139,144.02 = 56,127.56/x
  3. Step 3: Cross multiply
    100,829x = 139,144.02 × 56,127.56
  4. Step 4: Simplify right side
    100,829x = 7,809,814,331.19
  5. Step 5: Solve for x
    x = 7,809,814,331.19/100,829
  6. Step 6: Final answer
    x = 77,456.03

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1.5x scale

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.