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Finding the Fourth Proportional to 43,309, 64,989.42 and 18,685

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Solution

The fourth proportional to 43,309, 64,989.42 and 18,685 is: 28,038.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,309 : 64,989.42 = 18,685 : x
  2. Step 2: Convert to fraction form
    43,309/64,989.42 = 18,685/x
  3. Step 3: Cross multiply
    43,309x = 64,989.42 × 18,685
  4. Step 4: Simplify right side
    43,309x = 1,214,327,312.70
  5. Step 5: Solve for x
    x = 1,214,327,312.70/43,309
  6. Step 6: Final answer
    x = 28,038.68

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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.