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Finding the Fourth Proportional to 72,130.48, 108,195.10 and 19,539.61

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Solution

The fourth proportional to 72,130.48, 108,195.10 and 19,539.61 is: 29,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,130.48 : 108,195.10 = 19,539.61 : x
  2. Step 2: Convert to fraction form
    72,130.48/108,195.10 = 19,539.61/x
  3. Step 3: Cross multiply
    72,130.48x = 108,195.10 × 19,539.61
  4. Step 4: Simplify right side
    72,130.48x = 2,114,090,057.91
  5. Step 5: Solve for x
    x = 2,114,090,057.91/72,130.48
  6. Step 6: Final answer
    x = 29,309.25

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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.