Home / 53,742-74,142.12-31,076.64

Finding the Fourth Proportional to 53,742, 74,142.12 and 31,076.64

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Solution

The fourth proportional to 53,742, 74,142.12 and 31,076.64 is: 42,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,742 : 74,142.12 = 31,076.64 : x
  2. Step 2: Convert to fraction form
    53,742/74,142.12 = 31,076.64/x
  3. Step 3: Cross multiply
    53,742x = 74,142.12 × 31,076.64
  4. Step 4: Simplify right side
    53,742x = 2,304,087,972.08
  5. Step 5: Solve for x
    x = 2,304,087,972.08/53,742
  6. Step 6: Final answer
    x = 42,873.13

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Why These Related Problems?

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