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Finding the Fourth Proportional to 51,583.81, 77,373.89 and 14,143.28

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Solution

The fourth proportional to 51,583.81, 77,373.89 and 14,143.28 is: 21,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,583.81 : 77,373.89 = 14,143.28 : x
  2. Step 2: Convert to fraction form
    51,583.81/77,373.89 = 14,143.28/x
  3. Step 3: Cross multiply
    51,583.81x = 77,373.89 × 14,143.28
  4. Step 4: Simplify right side
    51,583.81x = 1,094,320,423.53
  5. Step 5: Solve for x
    x = 1,094,320,423.53/51,583.81
  6. Step 6: Final answer
    x = 21,214.42

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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.