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Finding the Fourth Proportional to 53,642.97, 74,010.18 and 30,978.97

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Solution

The fourth proportional to 53,642.97, 74,010.18 and 30,978.97 is: 42,741.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.97 : 74,010.18 = 30,978.97 : x
  2. Step 2: Convert to fraction form
    53,642.97/74,010.18 = 30,978.97/x
  3. Step 3: Cross multiply
    53,642.97x = 74,010.18 × 30,978.97
  4. Step 4: Simplify right side
    53,642.97x = 2,292,758,991.02
  5. Step 5: Solve for x
    x = 2,292,758,991.02/53,642.97
  6. Step 6: Final answer
    x = 42,741.09

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1.5x scale

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.