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Finding the Fourth Proportional to 72,509.86, 108,752.46 and 19,907.02

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Solution

The fourth proportional to 72,509.86, 108,752.46 and 19,907.02 is: 29,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,509.86 : 108,752.46 = 19,907.02 : x
  2. Step 2: Convert to fraction form
    72,509.86/108,752.46 = 19,907.02/x
  3. Step 3: Cross multiply
    72,509.86x = 108,752.46 × 19,907.02
  4. Step 4: Simplify right side
    72,509.86x = 2,164,937,396.27
  5. Step 5: Solve for x
    x = 2,164,937,396.27/72,509.86
  6. Step 6: Final answer
    x = 29,857.14

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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.