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Finding the Fourth Proportional to 53,748, 74,172.56 and 31,387.68

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Solution

The fourth proportional to 53,748, 74,172.56 and 31,387.68 is: 43,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,748 : 74,172.56 = 31,387.68 : x
  2. Step 2: Convert to fraction form
    53,748/74,172.56 = 31,387.68/x
  3. Step 3: Cross multiply
    53,748x = 74,172.56 × 31,387.68
  4. Step 4: Simplify right side
    53,748x = 2,328,104,578.06
  5. Step 5: Solve for x
    x = 2,328,104,578.06/53,748
  6. Step 6: Final answer
    x = 43,315.19

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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.