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Finding the Fourth Proportional to 66,511.80, 99,816.30 and 46,828.80

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Solution

The fourth proportional to 66,511.80, 99,816.30 and 46,828.80 is: 70,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511.80 : 99,816.30 = 46,828.80 : x
  2. Step 2: Convert to fraction form
    66,511.80/99,816.30 = 46,828.80/x
  3. Step 3: Cross multiply
    66,511.80x = 99,816.30 × 46,828.80
  4. Step 4: Simplify right side
    66,511.80x = 4,674,277,549.44
  5. Step 5: Solve for x
    x = 4,674,277,549.44/66,511.80
  6. Step 6: Final answer
    x = 70,277.42

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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.