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Finding the Fourth Proportional to 72,189.16, 108,290.28 and 22,270

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Solution

The fourth proportional to 72,189.16, 108,290.28 and 22,270 is: 33,407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189.16 : 108,290.28 = 22,270 : x
  2. Step 2: Convert to fraction form
    72,189.16/108,290.28 = 22,270/x
  3. Step 3: Cross multiply
    72,189.16x = 108,290.28 × 22,270
  4. Step 4: Simplify right side
    72,189.16x = 2,411,624,535.60
  5. Step 5: Solve for x
    x = 2,411,624,535.60/72,189.16
  6. Step 6: Final answer
    x = 33,407.02

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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.