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Finding the Fourth Proportional to 51,744, 77,616.72 and 14,808

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Solution

The fourth proportional to 51,744, 77,616.72 and 14,808 is: 22,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,744 : 77,616.72 = 14,808 : x
  2. Step 2: Convert to fraction form
    51,744/77,616.72 = 14,808/x
  3. Step 3: Cross multiply
    51,744x = 77,616.72 × 14,808
  4. Step 4: Simplify right side
    51,744x = 1,149,348,389.76
  5. Step 5: Solve for x
    x = 1,149,348,389.76/51,744
  6. Step 6: Final answer
    x = 22,212.21

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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.