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Finding the Fourth Proportional to 53,609, 73,980.48 and 31,257.32

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Solution

The fourth proportional to 53,609, 73,980.48 and 31,257.32 is: 43,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,609 : 73,980.48 = 31,257.32 : x
  2. Step 2: Convert to fraction form
    53,609/73,980.48 = 31,257.32/x
  3. Step 3: Cross multiply
    53,609x = 73,980.48 × 31,257.32
  4. Step 4: Simplify right side
    53,609x = 2,312,431,537.11
  5. Step 5: Solve for x
    x = 2,312,431,537.11/53,609
  6. Step 6: Final answer
    x = 43,135.14

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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.