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Finding the Fourth Proportional to 53,696.80, 74,111.24 and 31,032.68

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Solution

The fourth proportional to 53,696.80, 74,111.24 and 31,032.68 is: 42,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,696.80 : 74,111.24 = 31,032.68 : x
  2. Step 2: Convert to fraction form
    53,696.80/74,111.24 = 31,032.68/x
  3. Step 3: Cross multiply
    53,696.80x = 74,111.24 × 31,032.68
  4. Step 4: Simplify right side
    53,696.80x = 2,299,870,395.32
  5. Step 5: Solve for x
    x = 2,299,870,395.32/53,696.80
  6. Step 6: Final answer
    x = 42,830.68

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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.