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Finding the Fourth Proportional to 258,296.16, 387,443.64 and 68,756.56

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Solution

The fourth proportional to 258,296.16, 387,443.64 and 68,756.56 is: 103,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,296.16 : 387,443.64 = 68,756.56 : x
  2. Step 2: Convert to fraction form
    258,296.16/387,443.64 = 68,756.56/x
  3. Step 3: Cross multiply
    258,296.16x = 387,443.64 × 68,756.56
  4. Step 4: Simplify right side
    258,296.16x = 26,639,291,880.28
  5. Step 5: Solve for x
    x = 26,639,291,880.28/258,296.16
  6. Step 6: Final answer
    x = 103,134.68

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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.