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Finding the Fourth Proportional to 30,516, 42,109.77 and 18,578.01

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Solution

The fourth proportional to 30,516, 42,109.77 and 18,578.01 is: 25,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,516 : 42,109.77 = 18,578.01 : x
  2. Step 2: Convert to fraction form
    30,516/42,109.77 = 18,578.01/x
  3. Step 3: Cross multiply
    30,516x = 42,109.77 × 18,578.01
  4. Step 4: Simplify right side
    30,516x = 782,315,728.16
  5. Step 5: Solve for x
    x = 782,315,728.16/30,516
  6. Step 6: Final answer
    x = 25,636.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.