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Finding the Fourth Proportional to 85,409.20, 128,113.80 and 77,114.80

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Solution

The fourth proportional to 85,409.20, 128,113.80 and 77,114.80 is: 115,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,409.20 : 128,113.80 = 77,114.80 : x
  2. Step 2: Convert to fraction form
    85,409.20/128,113.80 = 77,114.80/x
  3. Step 3: Cross multiply
    85,409.20x = 128,113.80 × 77,114.80
  4. Step 4: Simplify right side
    85,409.20x = 9,879,470,064.24
  5. Step 5: Solve for x
    x = 9,879,470,064.24/85,409.20
  6. Step 6: Final answer
    x = 115,672.20

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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.