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Finding the Fourth Proportional to 72,583, 108,881.36 and 28,213.16

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Solution

The fourth proportional to 72,583, 108,881.36 and 28,213.16 is: 42,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,583 : 108,881.36 = 28,213.16 : x
  2. Step 2: Convert to fraction form
    72,583/108,881.36 = 28,213.16/x
  3. Step 3: Cross multiply
    72,583x = 108,881.36 × 28,213.16
  4. Step 4: Simplify right side
    72,583x = 3,071,887,230.70
  5. Step 5: Solve for x
    x = 3,071,887,230.70/72,583
  6. Step 6: Final answer
    x = 42,322.41

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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.