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Finding the Fourth Proportional to 140,535, 211,016.27 and 122,755.50

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Solution

The fourth proportional to 140,535, 211,016.27 and 122,755.50 is: 184,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,535 : 211,016.27 = 122,755.50 : x
  2. Step 2: Convert to fraction form
    140,535/211,016.27 = 122,755.50/x
  3. Step 3: Cross multiply
    140,535x = 211,016.27 × 122,755.50
  4. Step 4: Simplify right side
    140,535x = 25,903,408,038.87
  5. Step 5: Solve for x
    x = 25,903,408,038.87/140,535
  6. Step 6: Final answer
    x = 184,319.98

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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.