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Finding the Fourth Proportional to 105,331.49, 157,965.10 and 55,384.49

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Solution

The fourth proportional to 105,331.49, 157,965.10 and 55,384.49 is: 83,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,331.49 : 157,965.10 = 55,384.49 : x
  2. Step 2: Convert to fraction form
    105,331.49/157,965.10 = 55,384.49/x
  3. Step 3: Cross multiply
    105,331.49x = 157,965.10 × 55,384.49
  4. Step 4: Simplify right side
    105,331.49x = 8,748,816,501.30
  5. Step 5: Solve for x
    x = 8,748,816,501.30/105,331.49
  6. Step 6: Final answer
    x = 83,059.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.