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Finding the Fourth Proportional to 268,274.30, 402,473.68 and 78,727

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Solution

The fourth proportional to 268,274.30, 402,473.68 and 78,727 is: 118,108.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,274.30 : 402,473.68 = 78,727 : x
  2. Step 2: Convert to fraction form
    268,274.30/402,473.68 = 78,727/x
  3. Step 3: Cross multiply
    268,274.30x = 402,473.68 × 78,727
  4. Step 4: Simplify right side
    268,274.30x = 31,685,545,405.36
  5. Step 5: Solve for x
    x = 31,685,545,405.36/268,274.30
  6. Step 6: Final answer
    x = 118,108.76

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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.