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Finding the Fourth Proportional to 72,417.93, 108,623.25 and 19,827.87

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Solution

The fourth proportional to 72,417.93, 108,623.25 and 19,827.87 is: 29,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,417.93 : 108,623.25 = 19,827.87 : x
  2. Step 2: Convert to fraction form
    72,417.93/108,623.25 = 19,827.87/x
  3. Step 3: Cross multiply
    72,417.93x = 108,623.25 × 19,827.87
  4. Step 4: Simplify right side
    72,417.93x = 2,153,767,679.98
  5. Step 5: Solve for x
    x = 2,153,767,679.98/72,417.93
  6. Step 6: Final answer
    x = 29,740.81

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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.