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Finding the Fourth Proportional to 53,642.94, 74,010.15 and 30,978.95

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Solution

The fourth proportional to 53,642.94, 74,010.15 and 30,978.95 is: 42,741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.94 : 74,010.15 = 30,978.95 : x
  2. Step 2: Convert to fraction form
    53,642.94/74,010.15 = 30,978.95/x
  3. Step 3: Cross multiply
    53,642.94x = 74,010.15 × 30,978.95
  4. Step 4: Simplify right side
    53,642.94x = 2,292,756,366.29
  5. Step 5: Solve for x
    x = 2,292,756,366.29/53,642.94
  6. Step 6: Final answer
    x = 42,741.06

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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.