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Finding the Fourth Proportional to 53,886, 74,364.12 and 30,013.68

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Solution

The fourth proportional to 53,886, 74,364.12 and 30,013.68 is: 41,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886 : 74,364.12 = 30,013.68 : x
  2. Step 2: Convert to fraction form
    53,886/74,364.12 = 30,013.68/x
  3. Step 3: Cross multiply
    53,886x = 74,364.12 × 30,013.68
  4. Step 4: Simplify right side
    53,886x = 2,231,940,901.16
  5. Step 5: Solve for x
    x = 2,231,940,901.16/53,886
  6. Step 6: Final answer
    x = 41,419.68

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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.