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Finding the Fourth Proportional to 53,709.92, 74,114.02 and 31,045.32

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Solution

The fourth proportional to 53,709.92, 74,114.02 and 31,045.32 is: 42,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.92 : 74,114.02 = 31,045.32 : x
  2. Step 2: Convert to fraction form
    53,709.92/74,114.02 = 31,045.32/x
  3. Step 3: Cross multiply
    53,709.92x = 74,114.02 × 31,045.32
  4. Step 4: Simplify right side
    53,709.92x = 2,300,893,467.39
  5. Step 5: Solve for x
    x = 2,300,893,467.39/53,709.92
  6. Step 6: Final answer
    x = 42,839.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.