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Finding the Fourth Proportional to 72,727.29, 109,141.16 and 47,779.29

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Solution

The fourth proportional to 72,727.29, 109,141.16 and 47,779.29 is: 71,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,727.29 : 109,141.16 = 47,779.29 : x
  2. Step 2: Convert to fraction form
    72,727.29/109,141.16 = 47,779.29/x
  3. Step 3: Cross multiply
    72,727.29x = 109,141.16 × 47,779.29
  4. Step 4: Simplify right side
    72,727.29x = 5,214,686,895.68
  5. Step 5: Solve for x
    x = 5,214,686,895.68/72,727.29
  6. Step 6: Final answer
    x = 71,701.93

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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.