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Finding the Fourth Proportional to 53,746.32, 74,164.02 and 31,081.92

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Solution

The fourth proportional to 53,746.32, 74,164.02 and 31,081.92 is: 42,889.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,746.32 : 74,164.02 = 31,081.92 : x
  2. Step 2: Convert to fraction form
    53,746.32/74,164.02 = 31,081.92/x
  3. Step 3: Cross multiply
    53,746.32x = 74,164.02 × 31,081.92
  4. Step 4: Simplify right side
    53,746.32x = 2,305,160,136.52
  5. Step 5: Solve for x
    x = 2,305,160,136.52/53,746.32
  6. Step 6: Final answer
    x = 42,889.64

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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.