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Finding the Fourth Proportional to 53,710.92, 74,115.39 and 31,046.31

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Solution

The fourth proportional to 53,710.92, 74,115.39 and 31,046.31 is: 42,840.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,710.92 : 74,115.39 = 31,046.31 : x
  2. Step 2: Convert to fraction form
    53,710.92/74,115.39 = 31,046.31/x
  3. Step 3: Cross multiply
    53,710.92x = 74,115.39 × 31,046.31
  4. Step 4: Simplify right side
    53,710.92x = 2,301,009,373.71
  5. Step 5: Solve for x
    x = 2,301,009,373.71/53,710.92
  6. Step 6: Final answer
    x = 42,840.62

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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.