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Finding the Fourth Proportional to 51,558, 77,341.50 and 14,622

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Solution

The fourth proportional to 51,558, 77,341.50 and 14,622 is: 21,934.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,558 : 77,341.50 = 14,622 : x
  2. Step 2: Convert to fraction form
    51,558/77,341.50 = 14,622/x
  3. Step 3: Cross multiply
    51,558x = 77,341.50 × 14,622
  4. Step 4: Simplify right side
    51,558x = 1,130,887,413
  5. Step 5: Solve for x
    x = 1,130,887,413/51,558
  6. Step 6: Final answer
    x = 21,934.28

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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.