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Finding the Fourth Proportional to 259,213.50, 357,714.63 and 139,981.50

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Solution

The fourth proportional to 259,213.50, 357,714.63 and 139,981.50 is: 193,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,213.50 : 357,714.63 = 139,981.50 : x
  2. Step 2: Convert to fraction form
    259,213.50/357,714.63 = 139,981.50/x
  3. Step 3: Cross multiply
    259,213.50x = 357,714.63 × 139,981.50
  4. Step 4: Simplify right side
    259,213.50x = 50,073,430,479.35
  5. Step 5: Solve for x
    x = 50,073,430,479.35/259,213.50
  6. Step 6: Final answer
    x = 193,174.47

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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.