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Finding the Fourth Proportional to 121,809.80, 182,714.70 and 102,564.20

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Solution

The fourth proportional to 121,809.80, 182,714.70 and 102,564.20 is: 153,846.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,809.80 : 182,714.70 = 102,564.20 : x
  2. Step 2: Convert to fraction form
    121,809.80/182,714.70 = 102,564.20/x
  3. Step 3: Cross multiply
    121,809.80x = 182,714.70 × 102,564.20
  4. Step 4: Simplify right side
    121,809.80x = 18,739,987,033.74
  5. Step 5: Solve for x
    x = 18,739,987,033.74/121,809.80
  6. Step 6: Final answer
    x = 153,846.30

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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.