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Finding the Fourth Proportional to 222,642.50, 333,978.03 and 78,530.58

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Solution

The fourth proportional to 222,642.50, 333,978.03 and 78,530.58 is: 117,800.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,642.50 : 333,978.03 = 78,530.58 : x
  2. Step 2: Convert to fraction form
    222,642.50/333,978.03 = 78,530.58/x
  3. Step 3: Cross multiply
    222,642.50x = 333,978.03 × 78,530.58
  4. Step 4: Simplify right side
    222,642.50x = 26,227,488,403.16
  5. Step 5: Solve for x
    x = 26,227,488,403.16/222,642.50
  6. Step 6: Final answer
    x = 117,800.91

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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.