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Finding the Fourth Proportional to 154,506.16, 213,230.16 and 86,519.68

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Solution

The fourth proportional to 154,506.16, 213,230.16 and 86,519.68 is: 119,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,506.16 : 213,230.16 = 86,519.68 : x
  2. Step 2: Convert to fraction form
    154,506.16/213,230.16 = 86,519.68/x
  3. Step 3: Cross multiply
    154,506.16x = 213,230.16 × 86,519.68
  4. Step 4: Simplify right side
    154,506.16x = 18,448,605,209.55
  5. Step 5: Solve for x
    x = 18,448,605,209.55/154,506.16
  6. Step 6: Final answer
    x = 119,403.69

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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.