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Finding the Fourth Proportional to 133,875.54, 184,715.64 and 77,286.78

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Solution

The fourth proportional to 133,875.54, 184,715.64 and 77,286.78 is: 106,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,875.54 : 184,715.64 = 77,286.78 : x
  2. Step 2: Convert to fraction form
    133,875.54/184,715.64 = 77,286.78/x
  3. Step 3: Cross multiply
    133,875.54x = 184,715.64 × 77,286.78
  4. Step 4: Simplify right side
    133,875.54x = 14,276,077,031.24
  5. Step 5: Solve for x
    x = 14,276,077,031.24/133,875.54
  6. Step 6: Final answer
    x = 106,636.93

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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.