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Finding the Fourth Proportional to 43,616, 65,426.16 and 14,031.56

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Solution

The fourth proportional to 43,616, 65,426.16 and 14,031.56 is: 21,048.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,616 : 65,426.16 = 14,031.56 : x
  2. Step 2: Convert to fraction form
    43,616/65,426.16 = 14,031.56/x
  3. Step 3: Cross multiply
    43,616x = 65,426.16 × 14,031.56
  4. Step 4: Simplify right side
    43,616x = 918,031,089.61
  5. Step 5: Solve for x
    x = 918,031,089.61/43,616
  6. Step 6: Final answer
    x = 21,048.03

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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.