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Finding the Fourth Proportional to 74,493.16, 102,800.56 and 40,959.16

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Solution

The fourth proportional to 74,493.16, 102,800.56 and 40,959.16 is: 56,523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,493.16 : 102,800.56 = 40,959.16 : x
  2. Step 2: Convert to fraction form
    74,493.16/102,800.56 = 40,959.16/x
  3. Step 3: Cross multiply
    74,493.16x = 102,800.56 × 40,959.16
  4. Step 4: Simplify right side
    74,493.16x = 4,210,624,585.13
  5. Step 5: Solve for x
    x = 4,210,624,585.13/74,493.16
  6. Step 6: Final answer
    x = 56,523.64

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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.