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Finding the Fourth Proportional to 133,709.58, 184,479.66 and 76,347

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Solution

The fourth proportional to 133,709.58, 184,479.66 and 76,347 is: 105,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,709.58 : 184,479.66 = 76,347 : x
  2. Step 2: Convert to fraction form
    133,709.58/184,479.66 = 76,347/x
  3. Step 3: Cross multiply
    133,709.58x = 184,479.66 × 76,347
  4. Step 4: Simplify right side
    133,709.58x = 14,084,468,602.02
  5. Step 5: Solve for x
    x = 14,084,468,602.02/133,709.58
  6. Step 6: Final answer
    x = 105,336.27

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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.