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Finding the Fourth Proportional to 77,477.20, 116,215.80 and 53,857.60

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Solution

The fourth proportional to 77,477.20, 116,215.80 and 53,857.60 is: 80,786.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.20 : 116,215.80 = 53,857.60 : x
  2. Step 2: Convert to fraction form
    77,477.20/116,215.80 = 53,857.60/x
  3. Step 3: Cross multiply
    77,477.20x = 116,215.80 × 53,857.60
  4. Step 4: Simplify right side
    77,477.20x = 6,259,104,070.08
  5. Step 5: Solve for x
    x = 6,259,104,070.08/77,477.20
  6. Step 6: Final answer
    x = 80,786.40

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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.