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Finding the Fourth Proportional to 107,822.64, 148,808.40 and 65,381.04

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Solution

The fourth proportional to 107,822.64, 148,808.40 and 65,381.04 is: 90,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,822.64 : 148,808.40 = 65,381.04 : x
  2. Step 2: Convert to fraction form
    107,822.64/148,808.40 = 65,381.04/x
  3. Step 3: Cross multiply
    107,822.64x = 148,808.40 × 65,381.04
  4. Step 4: Simplify right side
    107,822.64x = 9,729,247,952.74
  5. Step 5: Solve for x
    x = 9,729,247,952.74/107,822.64
  6. Step 6: Final answer
    x = 90,233.81

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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.