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Finding the Fourth Proportional to 53,765, 74,195.70 and 30,213

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Solution

The fourth proportional to 53,765, 74,195.70 and 30,213 is: 41,693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,765 : 74,195.70 = 30,213 : x
  2. Step 2: Convert to fraction form
    53,765/74,195.70 = 30,213/x
  3. Step 3: Cross multiply
    53,765x = 74,195.70 × 30,213
  4. Step 4: Simplify right side
    53,765x = 2,241,674,684.10
  5. Step 5: Solve for x
    x = 2,241,674,684.10/53,765
  6. Step 6: Final answer
    x = 41,693.94

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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.