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Finding the Fourth Proportional to 30,089.71, 45,102.57 and 11,361.78

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Solution

The fourth proportional to 30,089.71, 45,102.57 and 11,361.78 is: 17,030.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,089.71 : 45,102.57 = 11,361.78 : x
  2. Step 2: Convert to fraction form
    30,089.71/45,102.57 = 11,361.78/x
  3. Step 3: Cross multiply
    30,089.71x = 45,102.57 × 11,361.78
  4. Step 4: Simplify right side
    30,089.71x = 512,445,435.17
  5. Step 5: Solve for x
    x = 512,445,435.17/30,089.71
  6. Step 6: Final answer
    x = 17,030.59

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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.