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Finding the Fourth Proportional to 72,693.20, 109,027.10 and 19,385.84

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Solution

The fourth proportional to 72,693.20, 109,027.10 and 19,385.84 is: 29,075.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,693.20 : 109,027.10 = 19,385.84 : x
  2. Step 2: Convert to fraction form
    72,693.20/109,027.10 = 19,385.84/x
  3. Step 3: Cross multiply
    72,693.20x = 109,027.10 × 19,385.84
  4. Step 4: Simplify right side
    72,693.20x = 2,113,581,916.26
  5. Step 5: Solve for x
    x = 2,113,581,916.26/72,693.20
  6. Step 6: Final answer
    x = 29,075.37

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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.