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Finding the Fourth Proportional to 72,114.78, 108,172.20 and 22,866.78

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Solution

The fourth proportional to 72,114.78, 108,172.20 and 22,866.78 is: 34,300.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,114.78 : 108,172.20 = 22,866.78 : x
  2. Step 2: Convert to fraction form
    72,114.78/108,172.20 = 22,866.78/x
  3. Step 3: Cross multiply
    72,114.78x = 108,172.20 × 22,866.78
  4. Step 4: Simplify right side
    72,114.78x = 2,473,549,899.52
  5. Step 5: Solve for x
    x = 2,473,549,899.52/72,114.78
  6. Step 6: Final answer
    x = 34,300.18

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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.