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Finding the Fourth Proportional to 259,937, 358,714.20 and 140,705

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Solution

The fourth proportional to 259,937, 358,714.20 and 140,705 is: 194,173.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,937 : 358,714.20 = 140,705 : x
  2. Step 2: Convert to fraction form
    259,937/358,714.20 = 140,705/x
  3. Step 3: Cross multiply
    259,937x = 358,714.20 × 140,705
  4. Step 4: Simplify right side
    259,937x = 50,472,881,511
  5. Step 5: Solve for x
    x = 50,472,881,511/259,937
  6. Step 6: Final answer
    x = 194,173.52

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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.