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Finding the Fourth Proportional to 135,698.20, 203,547.30 and 65,714.20

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Solution

The fourth proportional to 135,698.20, 203,547.30 and 65,714.20 is: 98,571.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,698.20 : 203,547.30 = 65,714.20 : x
  2. Step 2: Convert to fraction form
    135,698.20/203,547.30 = 65,714.20/x
  3. Step 3: Cross multiply
    135,698.20x = 203,547.30 × 65,714.20
  4. Step 4: Simplify right side
    135,698.20x = 13,375,947,981.66
  5. Step 5: Solve for x
    x = 13,375,947,981.66/135,698.20
  6. Step 6: Final answer
    x = 98,571.30

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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.