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Finding the Fourth Proportional to 30,171.71, 45,242.95 and 17,695.82

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Solution

The fourth proportional to 30,171.71, 45,242.95 and 17,695.82 is: 26,535.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,171.71 : 45,242.95 = 17,695.82 : x
  2. Step 2: Convert to fraction form
    30,171.71/45,242.95 = 17,695.82/x
  3. Step 3: Cross multiply
    30,171.71x = 45,242.95 × 17,695.82
  4. Step 4: Simplify right side
    30,171.71x = 800,611,099.47
  5. Step 5: Solve for x
    x = 800,611,099.47/30,171.71
  6. Step 6: Final answer
    x = 26,535.16

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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.