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Finding the Fourth Proportional to 74,900, 112,382.80 and 35,485.28

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Solution

The fourth proportional to 74,900, 112,382.80 and 35,485.28 is: 53,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,900 : 112,382.80 = 35,485.28 : x
  2. Step 2: Convert to fraction form
    74,900/112,382.80 = 35,485.28/x
  3. Step 3: Cross multiply
    74,900x = 112,382.80 × 35,485.28
  4. Step 4: Simplify right side
    74,900x = 3,987,935,125.18
  5. Step 5: Solve for x
    x = 3,987,935,125.18/74,900
  6. Step 6: Final answer
    x = 53,243.46

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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.