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Finding the Fourth Proportional to 208,415.04, 312,623.28 and 50,642.88

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Solution

The fourth proportional to 208,415.04, 312,623.28 and 50,642.88 is: 75,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,415.04 : 312,623.28 = 50,642.88 : x
  2. Step 2: Convert to fraction form
    208,415.04/312,623.28 = 50,642.88/x
  3. Step 3: Cross multiply
    208,415.04x = 312,623.28 × 50,642.88
  4. Step 4: Simplify right side
    208,415.04x = 15,832,143,254.25
  5. Step 5: Solve for x
    x = 15,832,143,254.25/208,415.04
  6. Step 6: Final answer
    x = 75,964.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.