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Finding the Fourth Proportional to 133,825.40, 184,649.16 and 76,446.40

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Solution

The fourth proportional to 133,825.40, 184,649.16 and 76,446.40 is: 105,478.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,825.40 : 184,649.16 = 76,446.40 : x
  2. Step 2: Convert to fraction form
    133,825.40/184,649.16 = 76,446.40/x
  3. Step 3: Cross multiply
    133,825.40x = 184,649.16 × 76,446.40
  4. Step 4: Simplify right side
    133,825.40x = 14,115,763,545.02
  5. Step 5: Solve for x
    x = 14,115,763,545.02/133,825.40
  6. Step 6: Final answer
    x = 105,478.96

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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.