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Finding the Fourth Proportional to 72,378.02, 108,582.60 and 22,457.12

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Solution

The fourth proportional to 72,378.02, 108,582.60 and 22,457.12 is: 33,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,378.02 : 108,582.60 = 22,457.12 : x
  2. Step 2: Convert to fraction form
    72,378.02/108,582.60 = 22,457.12/x
  3. Step 3: Cross multiply
    72,378.02x = 108,582.60 × 22,457.12
  4. Step 4: Simplify right side
    72,378.02x = 2,438,452,478.11
  5. Step 5: Solve for x
    x = 2,438,452,478.11/72,378.02
  6. Step 6: Final answer
    x = 33,690.51

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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.