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Finding the Fourth Proportional to 90,467.80, 135,701.70 and 77,054.20

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Solution

The fourth proportional to 90,467.80, 135,701.70 and 77,054.20 is: 115,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,467.80 : 135,701.70 = 77,054.20 : x
  2. Step 2: Convert to fraction form
    90,467.80/135,701.70 = 77,054.20/x
  3. Step 3: Cross multiply
    90,467.80x = 135,701.70 × 77,054.20
  4. Step 4: Simplify right side
    90,467.80x = 10,456,385,932.14
  5. Step 5: Solve for x
    x = 10,456,385,932.14/90,467.80
  6. Step 6: Final answer
    x = 115,581.30

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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.