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Finding the Fourth Proportional to 53,751.60, 74,178.72 and 29,879.28

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Solution

The fourth proportional to 53,751.60, 74,178.72 and 29,879.28 is: 41,234.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,751.60 : 74,178.72 = 29,879.28 : x
  2. Step 2: Convert to fraction form
    53,751.60/74,178.72 = 29,879.28/x
  3. Step 3: Cross multiply
    53,751.60x = 74,178.72 × 29,879.28
  4. Step 4: Simplify right side
    53,751.60x = 2,216,406,744.92
  5. Step 5: Solve for x
    x = 2,216,406,744.92/53,751.60
  6. Step 6: Final answer
    x = 41,234.25

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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.