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Finding the Fourth Proportional to 53,055, 73,219.50 and 30,699

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Solution

The fourth proportional to 53,055, 73,219.50 and 30,699 is: 42,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,055 : 73,219.50 = 30,699 : x
  2. Step 2: Convert to fraction form
    53,055/73,219.50 = 30,699/x
  3. Step 3: Cross multiply
    53,055x = 73,219.50 × 30,699
  4. Step 4: Simplify right side
    53,055x = 2,247,765,430.50
  5. Step 5: Solve for x
    x = 2,247,765,430.50/53,055
  6. Step 6: Final answer
    x = 42,366.70

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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.