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Finding the Fourth Proportional to 154,473.50, 213,154.71 and 86,485.14

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Solution

The fourth proportional to 154,473.50, 213,154.71 and 86,485.14 is: 119,339.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,473.50 : 213,154.71 = 86,485.14 : x
  2. Step 2: Convert to fraction form
    154,473.50/213,154.71 = 86,485.14/x
  3. Step 3: Cross multiply
    154,473.50x = 213,154.71 × 86,485.14
  4. Step 4: Simplify right side
    154,473.50x = 18,434,714,936.01
  5. Step 5: Solve for x
    x = 18,434,714,936.01/154,473.50
  6. Step 6: Final answer
    x = 119,339.02

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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.