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Finding the Fourth Proportional to 259,894.58, 358,655.77 and 145,178.06

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Solution

The fourth proportional to 259,894.58, 358,655.77 and 145,178.06 is: 200,346.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,894.58 : 358,655.77 = 145,178.06 : x
  2. Step 2: Convert to fraction form
    259,894.58/358,655.77 = 145,178.06/x
  3. Step 3: Cross multiply
    259,894.58x = 358,655.77 × 145,178.06
  4. Step 4: Simplify right side
    259,894.58x = 52,068,948,896.41
  5. Step 5: Solve for x
    x = 52,068,948,896.41/259,894.58
  6. Step 6: Final answer
    x = 200,346.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.