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Finding the Fourth Proportional to 74,969.53, 103,457.86 and 40,978.24

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Solution

The fourth proportional to 74,969.53, 103,457.86 and 40,978.24 is: 56,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,969.53 : 103,457.86 = 40,978.24 : x
  2. Step 2: Convert to fraction form
    74,969.53/103,457.86 = 40,978.24/x
  3. Step 3: Cross multiply
    74,969.53x = 103,457.86 × 40,978.24
  4. Step 4: Simplify right side
    74,969.53x = 4,239,521,016.97
  5. Step 5: Solve for x
    x = 4,239,521,016.97/74,969.53
  6. Step 6: Final answer
    x = 56,549.92

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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.