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Finding the Fourth Proportional to 66,029.01, 98,953.94 and 30,412

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Solution

The fourth proportional to 66,029.01, 98,953.94 and 30,412 is: 45,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,029.01 : 98,953.94 = 30,412 : x
  2. Step 2: Convert to fraction form
    66,029.01/98,953.94 = 30,412/x
  3. Step 3: Cross multiply
    66,029.01x = 98,953.94 × 30,412
  4. Step 4: Simplify right side
    66,029.01x = 3,009,387,223.28
  5. Step 5: Solve for x
    x = 3,009,387,223.28/66,029.01
  6. Step 6: Final answer
    x = 45,576.74

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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.