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Finding the Fourth Proportional to 100,914.50, 139,262.02 and 56,202.50

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Solution

The fourth proportional to 100,914.50, 139,262.02 and 56,202.50 is: 77,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,914.50 : 139,262.02 = 56,202.50 : x
  2. Step 2: Convert to fraction form
    100,914.50/139,262.02 = 56,202.50/x
  3. Step 3: Cross multiply
    100,914.50x = 139,262.02 × 56,202.50
  4. Step 4: Simplify right side
    100,914.50x = 7,826,873,679.05
  5. Step 5: Solve for x
    x = 7,826,873,679.05/100,914.50
  6. Step 6: Final answer
    x = 77,559.46

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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.