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Finding the Fourth Proportional to 158,468.81, 218,686.03 and 86,851.85

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Solution

The fourth proportional to 158,468.81, 218,686.03 and 86,851.85 is: 119,855.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,468.81 : 218,686.03 = 86,851.85 : x
  2. Step 2: Convert to fraction form
    158,468.81/218,686.03 = 86,851.85/x
  3. Step 3: Cross multiply
    158,468.81x = 218,686.03 × 86,851.85
  4. Step 4: Simplify right side
    158,468.81x = 18,993,284,964.10
  5. Step 5: Solve for x
    x = 18,993,284,964.10/158,468.81
  6. Step 6: Final answer
    x = 119,855.04

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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.