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Finding the Fourth Proportional to 66,507.47, 99,705.02 and 30,950.43

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Solution

The fourth proportional to 66,507.47, 99,705.02 and 30,950.43 is: 46,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,507.47 : 99,705.02 = 30,950.43 : x
  2. Step 2: Convert to fraction form
    66,507.47/99,705.02 = 30,950.43/x
  3. Step 3: Cross multiply
    66,507.47x = 99,705.02 × 30,950.43
  4. Step 4: Simplify right side
    66,507.47x = 3,085,913,087.41
  5. Step 5: Solve for x
    x = 3,085,913,087.41/66,507.47
  6. Step 6: Final answer
    x = 46,399.50

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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.