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Finding the Fourth Proportional to 72,316.80, 108,465.20 and 22,431.20

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Solution

The fourth proportional to 72,316.80, 108,465.20 and 22,431.20 is: 33,643.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,316.80 : 108,465.20 = 22,431.20 : x
  2. Step 2: Convert to fraction form
    72,316.80/108,465.20 = 22,431.20/x
  3. Step 3: Cross multiply
    72,316.80x = 108,465.20 × 22,431.20
  4. Step 4: Simplify right side
    72,316.80x = 2,433,004,594.24
  5. Step 5: Solve for x
    x = 2,433,004,594.24/72,316.80
  6. Step 6: Final answer
    x = 33,643.70

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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.