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Finding the Fourth Proportional to 122,865.40, 184,038.90 and 102,129.40

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Solution

The fourth proportional to 122,865.40, 184,038.90 and 102,129.40 is: 152,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,865.40 : 184,038.90 = 102,129.40 : x
  2. Step 2: Convert to fraction form
    122,865.40/184,038.90 = 102,129.40/x
  3. Step 3: Cross multiply
    122,865.40x = 184,038.90 × 102,129.40
  4. Step 4: Simplify right side
    122,865.40x = 18,795,782,433.66
  5. Step 5: Solve for x
    x = 18,795,782,433.66/122,865.40
  6. Step 6: Final answer
    x = 152,978.65

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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.