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Finding the Fourth Proportional to 52,653.34, 78,981.04 and 13,209.43

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Solution

The fourth proportional to 52,653.34, 78,981.04 and 13,209.43 is: 19,814.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,653.34 : 78,981.04 = 13,209.43 : x
  2. Step 2: Convert to fraction form
    52,653.34/78,981.04 = 13,209.43/x
  3. Step 3: Cross multiply
    52,653.34x = 78,981.04 × 13,209.43
  4. Step 4: Simplify right side
    52,653.34x = 1,043,294,519.21
  5. Step 5: Solve for x
    x = 1,043,294,519.21/52,653.34
  6. Step 6: Final answer
    x = 19,814.40

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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.