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Finding the Fourth Proportional to 43,329, 64,995.80 and 13,749.14

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Solution

The fourth proportional to 43,329, 64,995.80 and 13,749.14 is: 20,624.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,329 : 64,995.80 = 13,749.14 : x
  2. Step 2: Convert to fraction form
    43,329/64,995.80 = 13,749.14/x
  3. Step 3: Cross multiply
    43,329x = 64,995.80 × 13,749.14
  4. Step 4: Simplify right side
    43,329x = 893,636,353.61
  5. Step 5: Solve for x
    x = 893,636,353.61/43,329
  6. Step 6: Final answer
    x = 20,624.44

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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.