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Finding the Fourth Proportional to 209,356.61, 313,784.73 and 76,080.83

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Solution

The fourth proportional to 209,356.61, 313,784.73 and 76,080.83 is: 114,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,356.61 : 313,784.73 = 76,080.83 : x
  2. Step 2: Convert to fraction form
    209,356.61/313,784.73 = 76,080.83/x
  3. Step 3: Cross multiply
    209,356.61x = 313,784.73 × 76,080.83
  4. Step 4: Simplify right side
    209,356.61x = 23,873,001,130.80
  5. Step 5: Solve for x
    x = 23,873,001,130.80/209,356.61
  6. Step 6: Final answer
    x = 114,030.32

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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.