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Finding the Fourth Proportional to 30,365, 45,571.02 and 21,070.28

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Solution

The fourth proportional to 30,365, 45,571.02 and 21,070.28 is: 31,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,365 : 45,571.02 = 21,070.28 : x
  2. Step 2: Convert to fraction form
    30,365/45,571.02 = 21,070.28/x
  3. Step 3: Cross multiply
    30,365x = 45,571.02 × 21,070.28
  4. Step 4: Simplify right side
    30,365x = 960,194,151.29
  5. Step 5: Solve for x
    x = 960,194,151.29/30,365
  6. Step 6: Final answer
    x = 31,621.74

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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.