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Finding the Fourth Proportional to 53,734.80, 74,132.80 and 31,069.64

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Solution

The fourth proportional to 53,734.80, 74,132.80 and 31,069.64 is: 42,863.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,734.80 : 74,132.80 = 31,069.64 : x
  2. Step 2: Convert to fraction form
    53,734.80/74,132.80 = 31,069.64/x
  3. Step 3: Cross multiply
    53,734.80x = 74,132.80 × 31,069.64
  4. Step 4: Simplify right side
    53,734.80x = 2,303,279,408.19
  5. Step 5: Solve for x
    x = 2,303,279,408.19/53,734.80
  6. Step 6: Final answer
    x = 42,863.83

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1.5x scale

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.