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Finding the Fourth Proportional to 115,077.56, 158,784.30 and 72,694.20

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Solution

The fourth proportional to 115,077.56, 158,784.30 and 72,694.20 is: 100,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,077.56 : 158,784.30 = 72,694.20 : x
  2. Step 2: Convert to fraction form
    115,077.56/158,784.30 = 72,694.20/x
  3. Step 3: Cross multiply
    115,077.56x = 158,784.30 × 72,694.20
  4. Step 4: Simplify right side
    115,077.56x = 11,542,697,661.06
  5. Step 5: Solve for x
    x = 11,542,697,661.06/115,077.56
  6. Step 6: Final answer
    x = 100,303.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.