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Finding the Fourth Proportional to 158,208.84, 218,328 and 89,312.79

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Solution

The fourth proportional to 158,208.84, 218,328 and 89,312.79 is: 123,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,208.84 : 218,328 = 89,312.79 : x
  2. Step 2: Convert to fraction form
    158,208.84/218,328 = 89,312.79/x
  3. Step 3: Cross multiply
    158,208.84x = 218,328 × 89,312.79
  4. Step 4: Simplify right side
    158,208.84x = 19,499,482,815.12
  5. Step 5: Solve for x
    x = 19,499,482,815.12/158,208.84
  6. Step 6: Final answer
    x = 123,251.54

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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.