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Finding the Fourth Proportional to 66,509.21, 99,780.42 and 19,762.09

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Solution

The fourth proportional to 66,509.21, 99,780.42 and 19,762.09 is: 29,648.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,509.21 : 99,780.42 = 19,762.09 : x
  2. Step 2: Convert to fraction form
    66,509.21/99,780.42 = 19,762.09/x
  3. Step 3: Cross multiply
    66,509.21x = 99,780.42 × 19,762.09
  4. Step 4: Simplify right side
    66,509.21x = 1,971,869,640.28
  5. Step 5: Solve for x
    x = 1,971,869,640.28/66,509.21
  6. Step 6: Final answer
    x = 29,648.07

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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.