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Finding the Fourth Proportional to 85,408.20, 128,112.30 and 77,113.80

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Solution

The fourth proportional to 85,408.20, 128,112.30 and 77,113.80 is: 115,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,408.20 : 128,112.30 = 77,113.80 : x
  2. Step 2: Convert to fraction form
    85,408.20/128,112.30 = 77,113.80/x
  3. Step 3: Cross multiply
    85,408.20x = 128,112.30 × 77,113.80
  4. Step 4: Simplify right side
    85,408.20x = 9,879,226,279.74
  5. Step 5: Solve for x
    x = 9,879,226,279.74/85,408.20
  6. Step 6: Final answer
    x = 115,670.70

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1.5x scale

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.