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Finding the Fourth Proportional to 107,810.64, 148,791.84 and 65,369.04

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Solution

The fourth proportional to 107,810.64, 148,791.84 and 65,369.04 is: 90,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,810.64 : 148,791.84 = 65,369.04 : x
  2. Step 2: Convert to fraction form
    107,810.64/148,791.84 = 65,369.04/x
  3. Step 3: Cross multiply
    107,810.64x = 148,791.84 × 65,369.04
  4. Step 4: Simplify right side
    107,810.64x = 9,726,379,740.63
  5. Step 5: Solve for x
    x = 9,726,379,740.63/107,810.64
  6. Step 6: Final answer
    x = 90,217.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.