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Finding the Fourth Proportional to 206,928, 310,392 and 59,184

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Solution

The fourth proportional to 206,928, 310,392 and 59,184 is: 88,776

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,928 : 310,392 = 59,184 : x
  2. Step 2: Convert to fraction form
    206,928/310,392 = 59,184/x
  3. Step 3: Cross multiply
    206,928x = 310,392 × 59,184
  4. Step 4: Simplify right side
    206,928x = 18,370,240,128
  5. Step 5: Solve for x
    x = 18,370,240,128/206,928
  6. Step 6: Final answer
    x = 88,776

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.