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Finding the Fourth Proportional to 99,424.84, 137,190.34 and 56,975.48

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Solution

The fourth proportional to 99,424.84, 137,190.34 and 56,975.48 is: 78,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,424.84 : 137,190.34 = 56,975.48 : x
  2. Step 2: Convert to fraction form
    99,424.84/137,190.34 = 56,975.48/x
  3. Step 3: Cross multiply
    99,424.84x = 137,190.34 × 56,975.48
  4. Step 4: Simplify right side
    99,424.84x = 7,816,485,472.86
  5. Step 5: Solve for x
    x = 7,816,485,472.86/99,424.84
  6. Step 6: Final answer
    x = 78,617.03

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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.