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Finding the Fourth Proportional to 133,226.32, 183,859.32 and 76,646.20

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Solution

The fourth proportional to 133,226.32, 183,859.32 and 76,646.20 is: 105,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,226.32 : 183,859.32 = 76,646.20 : x
  2. Step 2: Convert to fraction form
    133,226.32/183,859.32 = 76,646.20/x
  3. Step 3: Cross multiply
    133,226.32x = 183,859.32 × 76,646.20
  4. Step 4: Simplify right side
    133,226.32x = 14,092,118,212.58
  5. Step 5: Solve for x
    x = 14,092,118,212.58/133,226.32
  6. Step 6: Final answer
    x = 105,775.78

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1.5x scale

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.