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Finding the Fourth Proportional to 158,262.84, 218,406.54 and 86,642.64

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Solution

The fourth proportional to 158,262.84, 218,406.54 and 86,642.64 is: 119,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,262.84 : 218,406.54 = 86,642.64 : x
  2. Step 2: Convert to fraction form
    158,262.84/218,406.54 = 86,642.64/x
  3. Step 3: Cross multiply
    158,262.84x = 218,406.54 × 86,642.64
  4. Step 4: Simplify right side
    158,262.84x = 18,923,319,218.87
  5. Step 5: Solve for x
    x = 18,923,319,218.87/158,262.84
  6. Step 6: Final answer
    x = 119,568.93

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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.