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Finding the Fourth Proportional to 154,803.84, 213,631.64 and 86,835.88

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Solution

The fourth proportional to 154,803.84, 213,631.64 and 86,835.88 is: 119,834.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,803.84 : 213,631.64 = 86,835.88 : x
  2. Step 2: Convert to fraction form
    154,803.84/213,631.64 = 86,835.88/x
  3. Step 3: Cross multiply
    154,803.84x = 213,631.64 × 86,835.88
  4. Step 4: Simplify right side
    154,803.84x = 18,550,891,455.24
  5. Step 5: Solve for x
    x = 18,550,891,455.24/154,803.84
  6. Step 6: Final answer
    x = 119,834.83

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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.