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Finding the Fourth Proportional to 76,643, 114,964.50 and 21,239

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Solution

The fourth proportional to 76,643, 114,964.50 and 21,239 is: 31,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,643 : 114,964.50 = 21,239 : x
  2. Step 2: Convert to fraction form
    76,643/114,964.50 = 21,239/x
  3. Step 3: Cross multiply
    76,643x = 114,964.50 × 21,239
  4. Step 4: Simplify right side
    76,643x = 2,441,731,015.50
  5. Step 5: Solve for x
    x = 2,441,731,015.50/76,643
  6. Step 6: Final answer
    x = 31,858.50

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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.