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Finding the Fourth Proportional to 133,617.72, 184,422.80 and 83,307

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Solution

The fourth proportional to 133,617.72, 184,422.80 and 83,307 is: 114,982.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,617.72 : 184,422.80 = 83,307 : x
  2. Step 2: Convert to fraction form
    133,617.72/184,422.80 = 83,307/x
  3. Step 3: Cross multiply
    133,617.72x = 184,422.80 × 83,307
  4. Step 4: Simplify right side
    133,617.72x = 15,363,710,199.60
  5. Step 5: Solve for x
    x = 15,363,710,199.60/133,617.72
  6. Step 6: Final answer
    x = 114,982.58

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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.