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Finding the Fourth Proportional to 72,205.90, 108,114.45 and 72,205.90

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Solution

The fourth proportional to 72,205.90, 108,114.45 and 72,205.90 is: 108,114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,205.90 : 108,114.45 = 72,205.90 : x
  2. Step 2: Convert to fraction form
    72,205.90/108,114.45 = 72,205.90/x
  3. Step 3: Cross multiply
    72,205.90x = 108,114.45 × 72,205.90
  4. Step 4: Simplify right side
    72,205.90x = 7,806,501,165.26
  5. Step 5: Solve for x
    x = 7,806,501,165.26/72,205.90
  6. Step 6: Final answer
    x = 108,114.45

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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.