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Finding the Fourth Proportional to 268,137.98, 402,206.62 and 68,458.40

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Solution

The fourth proportional to 268,137.98, 402,206.62 and 68,458.40 is: 102,687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,137.98 : 402,206.62 = 68,458.40 : x
  2. Step 2: Convert to fraction form
    268,137.98/402,206.62 = 68,458.40/x
  3. Step 3: Cross multiply
    268,137.98x = 402,206.62 × 68,458.40
  4. Step 4: Simplify right side
    268,137.98x = 27,534,421,332.32
  5. Step 5: Solve for x
    x = 27,534,421,332.32/268,137.98
  6. Step 6: Final answer
    x = 102,687.51

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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.