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Finding the Fourth Proportional to 205,417.20, 308,125.80 and 116,943.60

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Solution

The fourth proportional to 205,417.20, 308,125.80 and 116,943.60 is: 175,415.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,417.20 : 308,125.80 = 116,943.60 : x
  2. Step 2: Convert to fraction form
    205,417.20/308,125.80 = 116,943.60/x
  3. Step 3: Cross multiply
    205,417.20x = 308,125.80 × 116,943.60
  4. Step 4: Simplify right side
    205,417.20x = 36,033,340,304.88
  5. Step 5: Solve for x
    x = 36,033,340,304.88/205,417.20
  6. Step 6: Final answer
    x = 175,415.40

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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.