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Finding the Fourth Proportional to 209,215.98, 313,647.12 and 90,798.30

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Solution

The fourth proportional to 209,215.98, 313,647.12 and 90,798.30 is: 136,120.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,215.98 : 313,647.12 = 90,798.30 : x
  2. Step 2: Convert to fraction form
    209,215.98/313,647.12 = 90,798.30/x
  3. Step 3: Cross multiply
    209,215.98x = 313,647.12 × 90,798.30
  4. Step 4: Simplify right side
    209,215.98x = 28,478,625,295.90
  5. Step 5: Solve for x
    x = 28,478,625,295.90/209,215.98
  6. Step 6: Final answer
    x = 136,120.70

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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.