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Finding the Fourth Proportional to 223,714.24, 308,732.15 and 121,746.28

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Solution

The fourth proportional to 223,714.24, 308,732.15 and 121,746.28 is: 168,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,714.24 : 308,732.15 = 121,746.28 : x
  2. Step 2: Convert to fraction form
    223,714.24/308,732.15 = 121,746.28/x
  3. Step 3: Cross multiply
    223,714.24x = 308,732.15 × 121,746.28
  4. Step 4: Simplify right side
    223,714.24x = 37,586,990,778.90
  5. Step 5: Solve for x
    x = 37,586,990,778.90/223,714.24
  6. Step 6: Final answer
    x = 168,013.40

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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.