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Finding the Fourth Proportional to 136,392, 188,223.84 and 76,776

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Solution

The fourth proportional to 136,392, 188,223.84 and 76,776 is: 105,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,392 : 188,223.84 = 76,776 : x
  2. Step 2: Convert to fraction form
    136,392/188,223.84 = 76,776/x
  3. Step 3: Cross multiply
    136,392x = 188,223.84 × 76,776
  4. Step 4: Simplify right side
    136,392x = 14,451,073,539.84
  5. Step 5: Solve for x
    x = 14,451,073,539.84/136,392
  6. Step 6: Final answer
    x = 105,952.50

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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.