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Finding the Fourth Proportional to 258,535.68, 387,803.56 and 81,043.64

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Solution

The fourth proportional to 258,535.68, 387,803.56 and 81,043.64 is: 121,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,535.68 : 387,803.56 = 81,043.64 : x
  2. Step 2: Convert to fraction form
    258,535.68/387,803.56 = 81,043.64/x
  3. Step 3: Cross multiply
    258,535.68x = 387,803.56 × 81,043.64
  4. Step 4: Simplify right side
    258,535.68x = 31,429,012,107.36
  5. Step 5: Solve for x
    x = 31,429,012,107.36/258,535.68
  6. Step 6: Final answer
    x = 121,565.47

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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.