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Finding the Fourth Proportional to 72,409.68, 108,614.64 and 19,815.24

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Solution

The fourth proportional to 72,409.68, 108,614.64 and 19,815.24 is: 29,722.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,409.68 : 108,614.64 = 19,815.24 : x
  2. Step 2: Convert to fraction form
    72,409.68/108,614.64 = 19,815.24/x
  3. Step 3: Cross multiply
    72,409.68x = 108,614.64 × 19,815.24
  4. Step 4: Simplify right side
    72,409.68x = 2,152,225,159.11
  5. Step 5: Solve for x
    x = 2,152,225,159.11/72,409.68
  6. Step 6: Final answer
    x = 29,722.89

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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.