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Finding the Fourth Proportional to 78,313.05, 108,072.08 and 42,503.06

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Solution

The fourth proportional to 78,313.05, 108,072.08 and 42,503.06 is: 58,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,313.05 : 108,072.08 = 42,503.06 : x
  2. Step 2: Convert to fraction form
    78,313.05/108,072.08 = 42,503.06/x
  3. Step 3: Cross multiply
    78,313.05x = 108,072.08 × 42,503.06
  4. Step 4: Simplify right side
    78,313.05x = 4,593,393,347.69
  5. Step 5: Solve for x
    x = 4,593,393,347.69/78,313.05
  6. Step 6: Final answer
    x = 58,654.25

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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.