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Finding the Fourth Proportional to 53,405.82, 73,699.70 and 31,905.32

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Solution

The fourth proportional to 53,405.82, 73,699.70 and 31,905.32 is: 44,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,405.82 : 73,699.70 = 31,905.32 : x
  2. Step 2: Convert to fraction form
    53,405.82/73,699.70 = 31,905.32/x
  3. Step 3: Cross multiply
    53,405.82x = 73,699.70 × 31,905.32
  4. Step 4: Simplify right side
    53,405.82x = 2,351,411,984.38
  5. Step 5: Solve for x
    x = 2,351,411,984.38/53,405.82
  6. Step 6: Final answer
    x = 44,029.13

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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.