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Finding the Fourth Proportional to 47,402, 71,097.32 and 12,344.40

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Solution

The fourth proportional to 47,402, 71,097.32 and 12,344.40 is: 18,515.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,402 : 71,097.32 = 12,344.40 : x
  2. Step 2: Convert to fraction form
    47,402/71,097.32 = 12,344.40/x
  3. Step 3: Cross multiply
    47,402x = 71,097.32 × 12,344.40
  4. Step 4: Simplify right side
    47,402x = 877,653,757.01
  5. Step 5: Solve for x
    x = 877,653,757.01/47,402
  6. Step 6: Final answer
    x = 18,515.12

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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.