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Finding the Fourth Proportional to 122,864.40, 184,037.40 and 102,128.40

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Solution

The fourth proportional to 122,864.40, 184,037.40 and 102,128.40 is: 152,977.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,864.40 : 184,037.40 = 102,128.40 : x
  2. Step 2: Convert to fraction form
    122,864.40/184,037.40 = 102,128.40/x
  3. Step 3: Cross multiply
    122,864.40x = 184,037.40 × 102,128.40
  4. Step 4: Simplify right side
    122,864.40x = 18,795,445,202.16
  5. Step 5: Solve for x
    x = 18,795,445,202.16/122,864.40
  6. Step 6: Final answer
    x = 152,977.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.