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Finding the Fourth Proportional to 66,412.88, 99,643 and 33,130

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Solution

The fourth proportional to 66,412.88, 99,643 and 33,130 is: 49,706.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,412.88 : 99,643 = 33,130 : x
  2. Step 2: Convert to fraction form
    66,412.88/99,643 = 33,130/x
  3. Step 3: Cross multiply
    66,412.88x = 99,643 × 33,130
  4. Step 4: Simplify right side
    66,412.88x = 3,301,172,590
  5. Step 5: Solve for x
    x = 3,301,172,590/66,412.88
  6. Step 6: Final answer
    x = 49,706.81

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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.