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Finding the Fourth Proportional to 66,030.01, 98,955.44 and 30,413

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Solution

The fourth proportional to 66,030.01, 98,955.44 and 30,413 is: 45,578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,030.01 : 98,955.44 = 30,413 : x
  2. Step 2: Convert to fraction form
    66,030.01/98,955.44 = 30,413/x
  3. Step 3: Cross multiply
    66,030.01x = 98,955.44 × 30,413
  4. Step 4: Simplify right side
    66,030.01x = 3,009,531,796.72
  5. Step 5: Solve for x
    x = 3,009,531,796.72/66,030.01
  6. Step 6: Final answer
    x = 45,578.24

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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.