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Finding the Fourth Proportional to 30,142.32, 45,213.12 and 14,548.92

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Solution

The fourth proportional to 30,142.32, 45,213.12 and 14,548.92 is: 21,823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,142.32 : 45,213.12 = 14,548.92 : x
  2. Step 2: Convert to fraction form
    30,142.32/45,213.12 = 14,548.92/x
  3. Step 3: Cross multiply
    30,142.32x = 45,213.12 × 14,548.92
  4. Step 4: Simplify right side
    30,142.32x = 657,802,065.83
  5. Step 5: Solve for x
    x = 657,802,065.83/30,142.32
  6. Step 6: Final answer
    x = 21,823.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.